Mr. IBRAHIM SALEHBHAI

Faculty Details


  • Designation : Assistant Professor
  • Qualification : Ph. D., Post Doc
  • Experience : 10 Years
  • Area Of Interest : Integral transforms,Special Functions and Fractional Calculus

Work Experience

1. Assistant Professor in Mathematics at Government Engineering College, Bharuch since August 2014.

2. UGC Dr. D. S. Kothari Postdoctoral Fellow at V. N. South Gujarat University, Surat during Jan 2013 to August 2014.

3. Lecturer in Mathematics at S.V. National Institute of Technology, Surat during July 2010 to December 2012.

4. CSIR Research Scholar at S.V. National Institute of Technology, Surat during July 2007 to July 2010.

Institute Portfolios

1. Account Officer at Government Engineering College, Bharuch since August 2017

i. Student College Fee coordinator

ii. Institiue Salary Bill coordinator

iii. Institute TDS coordinator

iv. Institute GST coordinator

v. Finacial Aspect Nodal officer for Institute Development Plan 

vi. Account officer at GEM portal

vii. RUSA account officer

2. Member of Admission Committee for Professional Courses at Government Engineering College, Bharuch help center from  August 2015 to March 2019

3. Member of Account committee at Government Engineering College, Bharuch during  August 2015 to July 2017

Research Projects

1. Project: Dr. D. S. Kothari PDF

Sponsored by: University Grants Commission, New Delhi

Duration: 01/01/2013 to 20/08/2014

Institute: Department of Mathematics, V. N. South Gujarat University, SURAT.

Total Grant: Rs. 10,17,178/-

Publications

1

The Laguerre Transform in two Variables and its Application in partial differential equations, Applied Mathematics and Computation, 219 (2013) 4650–4654 (with A. K. Shukla).

2.

On Laguerre transform in two variables, Integral Transforms and Special Functions, Vol. 20, No. 6, June 2009, 459–470, (with A.K. Shukla and J.C. Prajapati).

3.

Note on generalized Mittag-Leffler function, Springer Plus (2016) 5: 683, (with A.K. Shukla and Rachana Desai).

4.

Analytic Solution for the  Electric Circuit Model in Fractional Order, Abstract and Applied Analysis, vol. 2014, Article ID 343814, 5 pages, 2014 (with A.K. Shukla ,P. V. Shah and A. D. Patel).

5.

The Integral Expression Involving The Family Of Laguerre Polynomials And Bessel Function, Communications of the Korean Mathematical Society, Vol 27 (2012), No. 4, 721–732 (with A. K. Shukla).

6.

On Sequence of functions, Communications of the Korean Mathematical Society, 28 (2013), No. 1, pp. 123–134 (with A. K. Shukla and J.C. Prajapati).

7.

Note on Laguerre transform in two variables, Advances in Pure Mathematics, Vol. 1, 2011, 201-203, (with A. K. Shukla).

8.

An analytical solution of fluid flow through narrowing systems, Italian Journal Of Pure And Applied Mathematics, Vol. 29, 2012, 63-70 (with A. D. Patel, J. Banerjee, V. K. Katiyar and A. K. Shukla).

9.

On A Set Of Polynomials Suggested By The Family Of Konhauser Polynomial, International Journal of Mathematical Analysis, Vol. 3, 2009, No. 13, 637 – 643, (A. K. Shukla and J.C. Prajapati).

10.

Mathematical Modeling of Flow in Narrowing Systems, Indian Journal of Biomechanics. Special Issue NCBM-2009, Vol. 1, 2009, 5-7, (with A.D. Patel, S.K. Meher, A.K. Shukla, M.N. Mehta and V.K. Katiyar).

11.

Some Results Based on Generalized Mittag-Leffler Function,International Journal of Mathematical Analysis, Vol. 6, 2012, no. 11, 503 – 508, (with P.V. Shah, R. K. Jana, A.D. Patel).

12.

Shivley's Polynomials of Two variables, International Journal of Mathematical Analysis, Vol. 6, 2012, no. 36, 1757 - 1762, (with R. K. Jana, A.K. Shukla).

13

EXTENSIONS OF GENERALIZED BESSEL FUNCTIONS, Journal of Inequalities and Special Functions,  Volume 4 Issue 2(2013), Pages 1-12 , (with R. K. Jana, A.K. Shukla).

14

SOME RESULTS ON LAGUERRE TRANSFORM IN TWO VARIABLES, Italian Journal Of Pure And Applied Mathematics, 34 , 2015 (57-62) (with A. K. Shukla).

15

The Sumudu transform and its application to fractional differential equations, International e-Journal for Education and Mathematics , Volume 02, Issue 05, (2013), pp 29-40 (with M.G. Timol).

16

On the solution of some fractional differential equations, International Journal of Advances in Applied Mathematics and Mechanics , Volume 1, Issue 2, (2013) pp. 157-163, (with M.G. Timol).

17

On Sequence of Functions containing Generalized Hypergeometric Function, Mathematical Sciences Research Journal , Volume 17, Issue 4, 2013, pp. 98-110 (with S.B. Rao and A. K. Shukla).

Academic Projects

1.

Joint Organizing Secretary of: The International Conference on Special Functions and Their Application (XIth Annual Conference of SSFA) during June 27-29,2012 organized by Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat, INDIA.

2.

Coordinator of Academic programme of 76th Annual Conference of the Indian Mathematical Society during 27-30 December 2010 at S.V.N.I.T., Surat, INDIA.

3.

Coordinator of Academic programme of 14th International Conference of the International Academy of physical sciences during 22-24 December 2011 at S.V.N.I.T., Surat, INDIA.

4.

Coordinator of Two Days Lecture Series on Partial Differential Equations and Their Applications at Department of Applied Sciences and Humanities S.V. National Institute of Technology, SURAT, INDIA during August 27-28, 2011.

5.

Member of organizing committee for Two Days Lecture Series on NUMBER THEORY during September 3-4, 2011 at S.V.N.I.T., Surat, INDIA.

6.

Member of organizing committee for 56th Congress of Indian Society of Theoretical and Applied Mechanics (ISTAM) during December 19-21, 2011 at S.V.N.I.T., Surat, INDIA.


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Professional institution Membership

1.

Indian Mathematical Society (life Member)

2.

Indian Science Congress Association (life Member)

3.

Gujarat Ganit Mandal (life Member)

4.

Indian Society For Bio Mechanics (life Member)

Expert Lectures

Invited Talk

1.

Present a talk on Introduction To MAPLE in Staff Development Programme on “Applications of Mathematical Sciences and Soft Computing” held during December 8–12, 2008 at S.V. National Institute of Technology, SURAT, INDIA.

2.

Present a talk on Introduction to operational calculus for solving differential equations in 48th annual conference of Gujarat Ganit Mandal held during November 10-12, 2011 at Amreli, Gujarat, India.

3.

Present a talk on Introduction to Integral equations in One Week Short Term Training Programme on Mathematical Methods for Physical Sciences and Engineering during May 6-10, 2013 at S.V. National Institute of Technology, Surat, INDIA.

4.

Present a talk on Introduction to Calculus of Variations in One Week Short Term Training Programme on Mathematical Methods for Physical Sciences and Engineering during May 6-10, 2013 at S.V. National Institute of Technology, Surat, INDIA.

5.

Present a talk on A study on homogeneous general fractional-order system, 50th annual conference of Gujarat Ganit Mandal is going to be held during 14 – 17 Nov. 2013 at Sanskar Dham School, Ahmedabad – 380058.

6.

Present two talks on Fractional order systems in Short Term Training Programme on Applications of Fixed Point Theory and Non-Linear Analysis for Engineering and Sciences during June 30-July 04, 2014 at S.V. National Institute of Technology, SURAT, INDIA.

7.

Present two talks on Calculus of Variations and wavelet transform in STTP on Math Methods for Scientists and Engineers during June 19-July 10, 2015 at S.V. National Institute of Technology, SURAT, INDIA.

8.

Present a talk on Sturm Liouville theory and special functions in Computational Techniques for Differential Equations during May 02-06, 2016 at S.V. National Institute of Technology, SURAT, INDIA

Research Papers/Talk Presented At National/International Conference (ABROAD)

1.

On a Hankel transform integral, American Mathematical Society 2010 Spring Central Section Meeting during April 10-11, 2010 at Macalester College, St. Paul, MN, USA, (with A. K. Shukla).

2.

Laguerre Transform in two Variables and its properties, American Mathematical Society 2010 Spring Southeastern Sectional Meeting during March 27-28, 2010 at University of Kentucky, Lexington, KY, USA.

3

Present a paper entitled “On the solution of Nonlinear Fractional Differential equation” in American Mathematical Society 2014 Spring Western Sectional Meeting held during April 5-6, 2014 at the University of New Mexico, Albuquerque, USA.

Research Papers/Talk Presented At National/International Conference (INDIA)

1.

Some results of Laguerre transform in two variables associated with fractional calculus, International Conference on Special Functions & Applications (ICSFA 2013), (XIIth Annual Conference of Society for Special Functions and their Applications) during December 13-15, 2013 at Malviya National Institute of Technology, Jaipur 302017 (Rajasthan), India

2.

The solution of the fractional Diffusion Equation, National Seminar to commemorate the Sesquicentennial Birth Anniversary of SIR ASUTOSH MOOKERJEE (1864-1924) (NSAM-2013) during 6-8 September, 2013 at Calcutta Mathematical Society, Kolkata-700 064.

3.

Integrals involving Generalized Bessel Functions, National Conference on Analysis & Applications to be held at Department of Mathematics, National Institute of Technology, Srinagar during 19 – 20 November, 2012.

4.

Generalized Mittag-Leffler Functions and Structural Representation of the Mittag-Leffler variable, The International Conference on Special Functions and Their Application (XIth Annual Conference of SSFA), during June 27-29, 2012 organized by Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat, INDIA.

5.

Present a paper on Some Basic Properties On Laguerre Transform In Two Variables, 14th International Conference of the International Academy of physical sciences during 22-24 December 2011 at S.V.N.I.T., Surat, INDIA .

6.

On a Hankel transform integral containing an exponential function and two generalized Laguerre polynomials, International Conference On Special Functions & Their Applications (ICSFA 2011) & Symposium on Works of Ramanujan (Xth Annual Conference of SSFA) during July 28 - 30, 2011 at J. N. Vyas University, Jodhpur , INDIA.

7.

The Sequence of Functions and its Properties, 13th International Conference of International Academy of Physical Sciences during 14-16 June 2011 at University of Petroleum & Energy Studies, Dehradun, INDIA.

8.

Note on Hypergeometric functions, 76th Annual Conference of the Indian Mathematical Society during 27-30 December 2010 at S.V. National Institute of Technology, Surat, INDIA.

9.

Note on Laguerre Transform of two variables, 75th Annual Conference of the Indian Mathematical Society during 27-30 December 2009 at The Kalasalingam University, Krishnankoil, Tamil Nadu, INDIA.

10.

Mathematical modelling of flow in narrowing systems, National Conference on Biomechanics during March 7-8, 2009 at Department of Mathematics, Indian Institute of Technology (IIT), Roorkee, INDIA .

11.

An integral transform of two variables and its properties, 74th annual conference of The Indian Mathematical Society during 27-30 December 2008 at University of Allahabad, Allahabad, INDIA.

12

On A Set Of Polynomials Suggested By The Family Of Konhauser Polynomial, Pre-ICM International Convention on Mathematical Sciences, during 18-20 December 2008, at Department of Mathematics, University of Delhi, New Delhi, INDIA.

13

On general class of polynomial and its integral transforms, 73rd Annual Conference of Indian Mathematical Society, during December 27-30, 2007 at Department of Mathematics, University of Pune, Pune, INDIA.


Awards

1.

Dr. D. S. Kothari Postdoctoral Fellowship Awarded by University Grants Commission, New Delhi in November 2012.

2.

CSIR Senior Research Fellowship Awarded by Council of Scientific and Industrial Research, New Delhi in April 2010.

3.

V. M. SHAH Indian Mathematical Society Prize awarded for the year 2008 for presenting the best research paper in Analysis at the 74th annual conference of The Indian Mathematical Society during 27th -30th December 2008 at University of Allahabad, Allahabad, INDIA.

4.

Qualified the Gujarat State Eligibility Test (GSET) for lectureship in the subject Mathematical Sciences held on 2nd July 2006.

5.

A.R. RAO Prize awarded by Gujarat Ganit Mandal (Gujarat Mathematical Society) in the year 2003 for final year B.Sc. student.

Training

1

Workshop on “Integrable Systems” held during Feb. 18-29, 2008 at Indian Institute of Science (IISc), BANGALORE. INDIA.

2

Staff Development Programme on “Applications of Mathematical Sciences and Soft Computing” held during December 8–12, 2008 at S.V. National Institute of Technology, SURAT, INDIA.

3

Staff Development Programme on “Recent Scientific and Technological Advances in Physical Sciences” held during Dec. 29, 2008 to Jan. 2, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

4

Workshop on ‘’MATLAB and SIMULINK” held during Feb. 21-22, 2009 at S.V. National Institute of Technology & V.N. South Gujarat University, SURAT, INDIA.

5

Advanced Instructional School on Atiyah-Singer Index Theorem held during 6th July - 1st August, 2009 at Indian Institute of Technology (IIT), Mumbai. INDIA.

6

Staff Development Programme on “Advances in Condensed Matter Physics” held during 31st August, 2009 – 04th September, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

7

Staff Development Programme on “Non-Destructive Testing” held during 5th October – 9th October, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

8

Staff Development Programme on “Recent Trends in Material Science and Technology” held during 7th December – 11th December, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

9

Staff Development Programme on “Mathematical Applications in Real World Problems” held during 14th December – 18th December, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

10

Staff Development Programme on “Mathematical Modeling And Simulation” held during 21th December – 25th December, 2009 at S.V. National Institute of Technology, SURAT, INDIA.

11

Workshop on “Life of Srinivas Ramanujan and his contribution in field of Mathematics” during October 26-27, 2012 at S.V.N.I.T., Surat, INDIA.

12

Short term training programme (STTP) on Computational Fluid Dynamics For Engineers and Scientists during July 08-12, 2013 at S.V.N.I.T., Surat, INDIA.

13

Short Term Training Programme (STTP) on Applications of Fixed Point Theory and Non-Linear Analysis for Engineering and Sciences during June 30-July 04, 2014 at S.V. National Institute of Technology, SURAT, INDIA.

14

INDUCTION TRAINING PROGRAMME PHASE-I (IP-21) during  09-20 February 2015 at National Institute of Technical Teacher Training and Research, Bhopal

15

Short Term Course on Mathematical Methods for Scientists and Engineers during 29 June to 10 July 2015 at S.V. National Institute of Technology, SURAT, INDIA.

16

INDUCTION TRAINING PROGRAM PHASE II (IP-17) during 07-18 September 2015 at National Institute of Technical Teacher Training and Research, Bhopal


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