Dr. Arif M. Khan | Department of Mathematics, Applied Sciences.

Name - Dr. Arif M. Khan

Department - Department of Mathematics, Applied Sciences.

Email - arif.khan@jietjodhpur.ac.in

Contact No.– +91-9414260613

Google Scholar ID: https://scholar.google.com/citations?user=lfbPaQgAAAAJ&hl=en

Qualifications -

Ph.D. from - Jai Narain Vyas University, Jodhpur (Rajasthan), India

Post-Graduation - Jai Narain Vyas University, Jodhpur (Rajasthan), India

Graduation - Jai Narain Vyas University, Jodhpur (Rajasthan), India

Publication and Research

• Journal – 43

• Publications

1. Ramani, P., Khan, A.M., Suthar, D.L. et al. Approximate Analytical Solution for Non-Linear Fitzhugh–Nagumo Equation of Time Fractional Order through Fractional Reduced Differential Transform Method. Int. J. Appl. Comput. Math,   8, 61(2022) Springer Publication.https://doi.org/10.1007/s40819-022-01254-z(Scopus-Indexed)

2. Suthar D.L., Purohit S.D., Khan A.M., Dave S. (2021) “Impacts of Environmental Pollution on the Growth and Conception of Biological Populations Involving Incomplete I-Function”. Intelligent Learning for Computer Vision. CIS 2020. Lecture Notes on Data Engineering and Communications Technologies, vol. 61. Springer, Singapore. https://doi.org/10.1007/978-981-33-4582-9_44(Scopus-Indexed)

3. A.M. Khan, S.D. Purohit, S. Dave and D.L. Suthar, “Fractional mathematical modelling of degradation of dye in textile effluents” Mathematics in Engineering, Science and Aerospace Mesa Springer  - www.journalmesa.com Vol. 12, No. 3, pp. 1-9, 2021  (SCI-Indexed)

4. S. Dave, A.M. Khan, S.D. Purohit and D.L. Suthar "Application of green synthesized metal nano-particles in photo catalytic degradation of dyes and its mathematical modelling using Caputo Fabrizio fractional derivative without singular kernel"Journal of Mathematics, Hindawi, Volume 2021, Article ID 9948422, 8 pages, https://doi.org/10.1155/2021/9948422 (SCI-Indexed)

5. Purohit, S.D., Khan, A.M., Suthar, D.L. et al. The Impact on Raise of Environmental Pollution and Occurrence in Biological Populations Pertaining to Incomplete H-function. Natl. Acad. Sci. Lett. (2020). https://doi.org/10.1007/s40009-020-00996-y

6. (SCI-Indexed)

7. D. L. Suthar, A. M. Khan, Anita Alaria, S. D. Purohit, J. Singh “Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus”, AIMS Mathematics, 5(2), 2020: 1400–1410.doi: 10.3934/math.2020096http://www.aimspress.com/journal/Math

8. (Scopus & SCI-E Indexed)

9. D. L. Suthar, L. N. Mishra, A. M. Khan Anita Alaria, “Fractional integrals for the product of Srivastava’s polynomial and (p; q) - extended hyper geometric function, TWMS J. App. Eng. Math. V.9, N.4, 2019, pp. 822-829 (Scopus& ESCI Indexed).

10. Anita Alaria, Arif. M. Khan, D. L. Suthar, Dinesh Kumar, “  Application of Fractional Operators in Modelling for Charge Carrier Transport in Amorphous Semiconductor with Multiple Trapping, International Journal of Applied and Computational Mathematics, Springer Nature,  ISSN 2349-5103 Volume 5 Number 6 Int. J. Appl. Comput. Math (2019) 5:1-10 DOI 10.1007/s40819-019-0750-8. (Scopus Indexed).

11. LalitaMistry, A. M. Khan, D. L. Suthar, Dinesh Kumar, “A New Numerical Method to Solve Non Linear Fractional Differential Equations” International Journal of Innovative Technology and Exploring Engineering (IJITEE) (Scopus Indexed) ISSN: 2278-3075, Volume-8 Issue-12, October, pp. 5095-5100, 2019,

12. DOI: 10.35940/ijitee.L2741.1081219

13. Ramani, Pankaj, Khan, A. M. and Suthar, D. L., Numerical and Analytical Method for Solution of Fractional Differential Equations (March 22, 2019).  In Proceedings of International Conference on Sustainable Computing in Science, Technology and Management (SUSCOM-2019) Elsevier SSRN,id: 3358040, pp. 1865-1870,  February 26 - 28, 2019, Amity University Rajasthan, Jaipur, India. 

14. Khan A.M., RamaniPankaj, D.L.Suthar “Generalized differential transform method and its application to solve nonlinear partial differential equation with space and time fractional derivatives” (International Conference Proceeding) International Journal of Scientific Research and Review, ISSN No.: 2279-543X Volume 07, Issue 02, February 2019. (UGC Journal No.: 64650)

15. Khan A.M., Ramani P., Suthar D.L. et al.,“A Note on K-4 Fractional Integral Operator” Int. J. Appl. Comput. Math.April (2018) 4:57, pp.1-12, Springer Journal No. 40819, ISSN: 2349-5103(Impact Factor 0.96). (https://doi.org/10.1007/s40819-018-0491-0) (SCOPUS Indexed)

16.  D.L.Suthar, L.N. Mishra, A.M. Khan and Anita Alaria “Fractional Integrals for the product of srivastava’ Polynomial and extended hyper geometric function”, TWMS J. App. & Eng. Math. V.x, N.x, 20xx, pp.1-9 (Indexing—ESCI& Elsevier) Journal ISSN: 2146-1147.

17. Arif M. Khan, Anita Alaria, D.L.Suthar and Dinesh Kumar“On Generalized K-C Hadamard Fractional Operators and M series” Bulletin of Mathematical Sciences, Springer Journal (Communicated for publication)

18. A. M. Khan, Lalita Mistry and D. L. Suthar“Revisiting analytical-approximate solution of time fractional Rosenau-Hyman equation via fractional reduced differential transform method”, Acta Mathematicae Applicate Sinica. (Communicated for publication).

19. A. M. Khan and Lalita Mistry “Stability Analysis and Numerical Solution for the Fractional order Biochemical Reaction Model” Nonlinear Analysis and Differential Equations, Vol. 4 No. 11, (2016), pp. 521-530, (HikariJournal).http://dx.doi.org/10.12988/nade.2016.6531.

20. ISSN-2367-4814  (Impact factor 0.138).

21. A.M. Khan, R. K. Kumbhat, Amit Chouhan and Anita Alaria“On Generalized Fractional Integral Operators and M-Series” Journal of Mathematics (Hindawi Publishing Corporation), Vol. 1,(2016), pp.1-10, Article ID-2872185, http://dx.doi.org/10.1155/2016/2872185.(Scopus Indexed)

22. Khan, A.M. “Modified Double Zeta Function and Its Properties” Advances in Pure Mathematics, Vol. (6), 2016, pp.159-167, (ScientificResearch Publishing) http://dx.doi.org/10.4236/apm.2016.63013 (ISSN Online: 2160-0384, Impact factor 0.55)

23. A.M.Khan and Amit Chouhan “Approximate Solution of the Fractional Susceptible-Infected-Recovered model by Modified Variational Iteration Method” Journal of Fractional Calculus and Applications (Egypt) Vol. 7(1)  (2016), pp. 147-153.http://fcag-egypt.com/Journals/JFCA/ (ISSN Online: 2090-5858).

24. A.M.Khan, Amit Chouhan and Lalita Mistri “On Solving Abel Integral Equations Involving Fox H-Function” International Journal of  Computer Applications, selected articles in National Conference on Intelligent Systems (NCIS ) (2015), pp. 13-16. IJCA: www.ijcaonline.orgn(ISSN Online: 0975-8887, Impact factor 0.752).

25. A.M.Khan and Amit Chouhan“Unified Integrals Associated with H-function and M-Series” Journal of Fractional Calculus and Applications Vol. 6(2) (2015), pp. 11-16. (Egypt). http://fcag-egypt.com/Journals/JFCA/(ISSN Online: 2090-5858).

26. A. M. Khan, Amit Chouhan and Satish Saraswat “On certain new Cauchy –type fractional integral inequalities and Opial – type fractional derivative inequalities” Tamkang Journal of Mathematics Vol. 46 (1) (2015), pp. 67-73 (Taiwan).doi:10.5556/j.tkjm.44.2013.1586 (ISSN online 2073-9826, SCI Impact factor-0.45).

27. A. M. Khan“A Note on Matichev - Saigo –Maeda Fractional Integral Operator” Journal of Fractional Calculus and applications Vol.5 (2) (2014), pp. 88-95.

28.  http://fcag-egypt.com/Journals/JFCA/ (ISSN online: 2090-5858).

29. A.M.Khan "Complex Order – Distribution and Caputo Fractional Derivatives of the I-Function" International Journal of Theoretical and Applied Sciences, Vol. 5(1) (2013), pp. 9-13. (ISSN online 2249-3247)

30. (UGC Approved).

31. A. M. Khan “Certain Properties of the I-function of r-variables & its Multiple Stieltjes Transform” Journal of Fractional Calculus and Applications Vol. 4(6) Jan. (2013), 1-6. (Egypt)(ISSN Online: 2090-5858).

32. Arif M. Khan “Multiple Mellin Convolution and I-Function Transformation involving r variables” International Journal of Applied Mathematical Research Vol. 1 (4) (2012), pp. 744-750 (Germany) www.sciencepubco.com/index.php/IJAMR. (ISSN: 2227-4324).

• Conference – 35

• 1. “Double Convolution integral equation involving the I-function of two variables” 12thAnnual National Conference of Ganita Sandesh, 03-04 Nov., 2000.

  Department of Mathematics, M.L.V. Govt. College Bhilwara (Raj.)

  National

• 2. “Mellin convolutions and I-function transformation” 2nd Annual International conference on Society for Special Function and their Applications,2-4 Feb, 2001

  Department of Mathematics University of Lucknow.

  International

• 3. “Double convolution integral equation” 4th Annual International conference on society for Special Functions and their Applications, 20-22 Feb. 2003.

  The University of Rajasthan held at Jaipur (Raj.)

  International

• 4. “An Approximate Solution of fractional integral equation” National Seminar on Special Function Theory & its application in Engg. and Technology(SATAET-2009),06-07 Feb.2009. .

  Organized by SobhasariaEngg.College Sikar

  National

• 5. “Attended”, “Emerging Trends in IT: Impact on Industry and Education” 3 March 2008.

  Organized by Jodhpur Institute of Engg. &Tech. at JIET Universe, Jodhpur

  National

• 6. "Attended”,“Technology and Leadership” 4 March 2008.

  Organized by Jodhpur Institute of Engg. &Tech. at JIET Universe, Jodhpur

  National

• 7. “Reforms in Taxation” National Conference on New innovation in Taxation and corporate Governance concept and procedures” 23-24 Jan., 2009

  Organized by the Department of Management Studies, JIET Jodhpur

  National

• 8. “On Certain Laplace Transformation & Unified Theorems” International Conference on Mathematics and soft Computing sponsored By DST,DRDO,ICMR, 4-5 Dec. 2010.

  Organized by N. C. Engg. College IsranaPanipat.

  International

• 9. “Human resource information systems & Human Resource Accounting with Quantitative approach ” National Conference on Human resources Management Challenges in 21st Century, 28-29 Jan., 2011

  Organized by the Department of Management Studies, JIET Jodhpur

  National

• 10. “On Certain Laplace Transformation Unified Theorem involving I-Function as kernel ” National Seminar on Advances in complex Analysis and special functions, March 12-13, 2011.

  Organized by Central University of RajasthanKishangarh Ajmer (Raj.)

  National

• 11. “Ratio of exponentiated exponential Hypergeometric function &gamma function” International Conference on Special Functions and their application in association with JIET Group of Institutions,Jodhpur, July 28-30, 2011.

  Organized by Department of Mathematics & Statistics, J.N.Vyas University Jodhpur(Raj)

  International

• 12. “The Role of Educational Institute in Building up Entrepreneurship” National Seminar on Entrepreneurship, 17 March 2010.

  Organized by the Department of Hum.&So. Sc. JIET Jodhpur

  National

• 13. “Application of Fourier Transform in Soft Computing” International Conference on Computer Engineering and Technology ICCET,

  Organized by the Department of Computer JIET, Jodhpur (Raj.)

  International

• 14 . “Mathematical Modeling in Electrical field” National Conference on Energy &Sustainable Developments, 13-14 March 2010.

  Organized by the Department of EE, in collaboration with DST Rajasthan JIET Jodhpur.

  National

• 15. “Integral transform and its technical Applications” National Conference on Emerging Trends in Electronics &Telecommunication Vision 2020, 7-8 March 2009.

  Organized by Department of Electronics and Comm.Engg.JIET, in collaboration Institute of Engineers, Jodhpur

  National

• 16. “On Statistics & Probabilistic approach in Economics” National Conference on Role of Venture Capital & Entrepreneurship. 2010

  Organized by the Department of Management Studies, JIET Jodhpur

  National

• 17. “On new trends of statistical tools in Corporate Sectors” National Conference on Role of indirect Taxes in Corporate Sectors 2009.

  Organized by the Department of Management Studies, JIET Jodhpur

  National

• 18. “Role of Different Quantitative Techniques in Management” National Conference on The New Horizons of Management Education, 13-15 March 2010.

  Organized by the Department of Management Studies, Faculty of Commerce and Management J.N.V.University Jodhpur(Raj)

  National

• 19. “Role of Teachers in Quality in higher Education” National Seminar on Quality in Higher Education: Challenges and Opportunities Feb.16-17, 2012.

  Organized by Lachoo Memorial college of Science &Technology Jodhpur (Rajasthan)

  National

• 20. “Mathematical Models & Entrepreneurship” National Conference on “Entrepreneurial Development, Challenges & Prospects” Feb.22-23, 2013.

  Organized by Jodhpur Institute of Engineering and Technology, Jodhpur (Rajasthan)

  National

• 21. “On Multiple Fractional Kinetic Differ-integral Equation” National Conference on “Recent Trends in Mathematics and its Applications” March 23, 2013.

  Organized by Mewar University, Chittorgarh (Raj.)

  National

• 22. “Cloud Computing: Revolution of Internet” International Conference on “Emerging Trends of Research in Applied Sciences & Computational Techniques” 21-22 Feb. 2014.

  Sponsored by Computer Society of India &Initiations of Engineers. Organized by JIET Group of Institutions, Jodhpur, India.

  International

• 23. “On solving Abel integral equations involving Fox- H function” National Conference on Intelligent systems Dec. 22-23, 2014.

  Sponsored by DRDO ,Oil India Ltd. Jointly organized by Institute of Engineers India &JIET School of Engineering &Technology for Girls Jodhpur

  National

• 24. Attended National Conference on “Emerging Trends of Research in Applied Sciences, Experimental & Computational Techniques” 21-22 Feb. 2014.

  Sponsored by Oil India Ltd. Jointly organized by Indian Society for Technical Education and &JIET Jodhpur

  National

• 25. Modified Double Zeta Function and Its Properties International Conference on Analysis and its Applications (ICAA-15) (December 19-21, 2015)(Under UGC-DRS(II) Programme)

  Organized by Department of Mathematics, Aligarh Muslim University, Aligarh India

  International

• 26. An Overview on the Performance and security of RSA and ECC Algorithm 5th International Conference on quality up gradation in Engg. Sc. & Tech. 12 April 2016

  Organized by BapuraoDeshmukh College of Engg. Wardha, Maharashtra INDIA

• 27. Review Paper 2nd International Conference (ETEBMS-2016) 5-6 Nov 2016.

  Organized by S.D. Technocrats Held at Hotel Shri Ram Excellence Jodhpur,

  International

• 28. Generalized KC Hadamard Fractional Integral Operators and M Series International Conference on Pure and Applied Mathematics (ICPAM-2017) 13-14 Feb. 2017.

  Organized by M.L.Sukhadia University, Udaipur (Raj.)

  International

• 29. Comparative Analysis of HPNT and Modified Variational Iteration Method National Conference on New Advances in Theoretical Computer Science, Algorithms and Mathematical Modeling & 29th Annual Conference of Rajasthan Ganita Parishad on 27-28 April, 2018

  Organized by Jodhpur Institute of Engineering and Technology, Jodhpur

  National

• 30. Generalized differential transform method and its application to solve nonlinear partial differential equation with space and time fractional derivatives. 14th International Conference on recent trends in Engineering sc. And Management on 16th Feb. 2019.

  Organized by Vedant College of Engineering &Technology, Bundi Rajasthan

  International

• 31. Revisiting Analytical Approximate Solution of the Time fractional RH equation via FRDTM. International Conference on special functions and applications (ICSFA-2019)Oct. 21-23, 2019.

  Organized by UCET (BTU) Bikaner Rajasthan.

  International

• 32. Impact of Environmental Pollution on the growth and conception of biological populations involving incomplete I -function. International Conference “Congress on Intelligent Systems” (CIS 2020) September 5-6, 2020.

  Organized by Soft Computing Research society, New Delhi India

  International

• 33 "Application of green synthesized metal nano-particles in photo catalytic degradation of dyes and its mathematical modelling using caputofabrizio fractional derivative without singular kernel" in iciv 2021. International Conference on Intelligent Vision (ICIV 2021). Organized by Soft Computing research Society, Goa India March 5-7, 2021

  Organized by the Soft Computing research Society,

  International

• 34 Modern Mathematical Methods and High computing in Sc.& Engineering MMHPC 2021 International Workshop organized by Anand International College, Jaipur Nov.23-24,2021

  Organized by Anand International College, Jaipur

  International (Online)

• 35. Algebra and Analysis National Level virtual workshop.2 Feb.2022

  Organized by Sri Ramkrishna college of Arts and Science Coimbatore

  National

• Book Publication/Chapter -06

1. Engg. Mathematics Vol.1, for B. Tech Sem.- I National (Ramesh Book Depot) {ISBN:81-8142-351-8}

2. Engg. Mathematics Vol.2 National (Ramesh Book Depot) {ISBN:81-8142-374-7,}

3. Engg. Mathematics-III, for B-Tech Sem.-III National (Ramesh Book Depot) {ISBN: 978-81-8142-389-4,}

4. Statistics & Probability Theory, for II B.Tech. Sem.- IV Main author National (Ramesh Book Depot) {ISBN:978-81-8142,414-3,}

5. Comparative Analysis of Elliptic Curve Cryptography Co-author International/Lambert Academic Publishing (Germany) {ISBN: 978-3-330-01788-7}

6. Differential Calculus “Co-author” National (Ramesh Book Depot) {ISBN:81-8142-374-9}

Affiliations –

• Member, American Mathematical Society (AMS), USA.

• Life member, Indian Mathematical Society, India.

• Life member, Allahabad Mathematical Society, India.

• Life member Rajasthan Ganita Parishad, India.

• Life member, International Association of Engineers, Hong Kong.

• Life member, the Indian Science Congress Association, India.

• Life member, International society of research and development, London, UK.

Research Work Supervised  (Ph.D.-03, M.Tech.-01):

• Ms. Anita Alaria: “A Study of Generalized Riemann-Liouville Operators and their Applications” at Poornima University Jaipur (Raj.), Registration No. PU/ASRC/Ph.D./SBA/015, Date of Registration- 02-11-2015, Date of Viva Voce - 24-02-2020 (Degree Awarded).

• Mr. Pankaj Ramani: “Efficient Numerical Methods for Fractional Differential Equations and Their Applications” at Poornima University Jaipur (Raj.)Registration No. PU/ASRC/Ph.D./SBA/008, Date of Registration- 19-03-2015, Viva Voce-19-9-2020. (Degree Awarded).

• Ms. Lalita Mistry: “Analytical and Approximate methods for Fractional Differential Equations and their Applications” from Poornima University Jaipur (Raj.), Registration No. PU/ASRC/Ph.D./SBA/016, Date of Registration- 02-11-2015, Date of Viva Voce-30-7-2021. (Degree Awarded).

• Kshitija B. C.: “Comparative Analysis of Elliptic Curve Cryptography Using Coordinate Systems” M. Tech., RTU Raj. (Awarded) in Nov. 2016.

Academic projects

Funded Research Project: (2019-2021)

1. Title - “Mathematical Modeling for Nano particle induced photo -catalytic degradation of dyes in textile effluents.”

   Agency - Collaborative Research and Innovation Scheme TEQIP-III (RTU/ATU) TEQIP III/ RTU / CRS/ 2019-20/ 02

   Period - 02 Year

   Grant/Amount Mobilized (Rs. in Lakh) - 02 Lakh

   Whether you are the Principal Investigator/ Co-Investigator - Yes

Courses Taught -

• Calculus and Vector Analysis

• Linear Algebra & Differential Equations

• Statistics & Probability Theory

• Integral Transform & Complex Variables

• Differential & Difference equations

• Quantitative Techniques

• Optimization Techniques

• Numerical  Methods

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