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Jaydev Dabas
Professor
jaydev[at]as.iitr.ac.in
0132-2714396
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Patents
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Abstract Differential Equations, Initial and Boundary Value Problems, Fractional Differential Equations, Approximations of Solutions,, Inverse and Ill-posed Problems,
BioSketch
Educational Details
IIT Kanpur
2009
Ph.D, Mathematics
CCS University Meerut
2001
MSc, Mathematics
Professional Background
Associate Professor
23 Nov 2015 - Present
IIT Roorkee
Assistant Professor
20 Dec 2010 - 23 Nov 2015
IIT Roorkee
Assistant Professor
16 Mar 2009 - 17 Dec 2010
MNNIT Allahabad
Lecturer
20 Oct 2008 - 06 Mar 2009
BITS Pilani Rajasthan
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
To investigate approximate controllability results of impulsive differential systems 01 Jan 2020 Mathematics 15.64 Lakhs CSIR New Delhi
Controllability results of semilinear impulsive differential equations. 01 Jan 2020 Mathematics 15.96 Lakhs NBHM
To study the existence of mild solutions for some fractional functional differential equations. 01 Jan 2013 Mathematics 12.48 Lakhs DST-Fast Track
To investigate existence and uniqueness of some fractional order differential equations with impulse 01 Jan 2012 Mathematics Rs. 2.75 Lakhs FIG-Scheme-A, IIT Roorkee




Publications

 

Published Papers

1

Approximate controllability of fractional order non-instantaneous impulsive functional evolution equations with state dependent-delay in Banach space, S. Arora, M.T. Mohan, J. Dabas,Oxford, 2022,1103-1142,39(4), IMA Journal of Mathematical Control and Information

2

Tikhonov solutions of approximately controllable second-order semi linear control systems, S. Singh, J. Dabas,Springer, 2022,1 – 13, series-2, Rendiconti del,Circolo Matematico di Palermo

3

Approximate controllability of impulsive fractional evolution equations of order αϵ (1; 2) with state-dependent delay in Banach spaces, S. Arora, M.T. Mohan, J. Dabas, Willey online library, 2022,531-559,46(1), Mathematical Methods in the Applied Sciences

4

On the concept of solutions for fuzzy fractional initial value problem, A. Dwivedi, G. Rani, J. Dabas, A. Dwivedi, G. Rani, J. Dabas,2022,310-319,6(1), Journal of Computational Mathematica

5

Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces, S. Arora, M.T. Mohan, J. Dabas, Elsevier,2022,83-113,307, Journal of Differential equations

6

Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces, S. Singh, S Arora, M.T. Mohan, J. Dabas, Hybrid and Bimonthly, 2022,67-93,11(1), Evolution Equations and Control Theory

7

Modified method of fundamental solutions for steady state heat conduction equation in an isotropic medium, S. Arora, J. Dabas, Taylor and Francis, 2021,439-457,22(6), International Journal for Computational Methods in Engineering

8

Novel Meshfree Scheme for Solving the Inverse Cauchy problem of heat conduction, S. Arora J. Dabas Springer, 2021,411-418,92, Proceedings of the National Academy of Sciences, India - Section A: Physical Sciences

9

Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces, S. Arora, M. T. Mohan, J.Dabas, Elsevier , 2021 , 100989, 39,Nonlinear Analysis Hybrid Systems

10

Solvability of Fractional order semi-linear stochastic impulsive differential equation with state dependent delay, M. Nadeem, J. Dabas, Springer,2020,411-419,90, Proceedings of the National Academy of Sciences, India Section A: Physical sciences

11

Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces, S. Arora, M. T. Mohan, J. Dabas, American Institute of Mathematical Sciences, 2020,857-883,11, Mathematical Control and Related Fields (MCRF)

12

Positive solutions for fractional integroboundary value problem of order αϵ (1; 2) on an unbounded domain, V. Gupta, J. Dabas, Ele-Math's journals,2019,319-333,11, Differential Equations and Applications

13

Existence results for fractional order boundary value problem with integrable impulse, V. Gupta, J. Dabas, Watam Press,2018,267-285,25, Dynamics of continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

14

Existence results of solutions for impulsive fractional dierential equations, V. Gupta, J. Dabas and M. Feckan, De Gruyter Open,2018,32-51,5, Nonauton. Dyn. Syst.

15

Impulsive stochastic fractional order integro-differential equations with infinite delay, M Nadeem, J. Dabas, JNEEA, 2017,109-121,2017(8), Journal of Nonlinear Evolution Equations and Applications

16

Existence Results for Mild Solution for a Class of Impulsive Fractional Stochastic Problems with Nonlocal Conditions, M. Nadeem, J. Dabas, InforMath Publishing Group,2017,376-387,4, Nonlinear Dynamics and Systems Theory

17

A study on existence of solutions for fractional functional differential equations, G.R. Gautam, J. Dabas, Springer Milan, 2017, Jan-17,69(1), Col-lectanea Mathematica

18

Nonlinear fractional boundary value problem with not instantaneous impulse, V. Gupta, J. Dabas, American Institute of Mathematical Sciences, 2017,365-376,2(2), AIMS Mathematics

19

Functional impulsive dierential equation of order αϵ (1; 2) with nonlocal initial and integral boundary conditions, V. Gupta, J. Dabas, Willey online library, 2017,2409-2420,40(7), Mathematical Methods in the Applied Sciences

20

Existence of Solution for Nonlinear Stochastic Differential Equations of Order αϵ (1; 2), M. Nadeem, J. Dabas, Natural Sciences Publishing Corp.,2016,219-226,2(3), Progress in Fractional Differentiation and Applications

21

Existence of mild solutions for impulsive fractional functional integro-dierential equations, G. R. Gautam, J. Dabas, Ele-Math's journals,2015,65-77,5(1), Fractional Differential Calculus

22

Existence Results for a Fractional Integro-Differential Equation with Nonlocal Boundary Conditions and Fractional Impulsive Conditions, V. Gupta, J. Dabas, InforMath Publishing Group, 2015,370-382,15(4), Nonlinear Dynamics and Systems Theory

23

Existence of solution for fractional impulsive integro-differential equation with integral boundary conditions, V. Gupta, J. Dabas, Vonneumann Publishing House,2015,56-68,1, Func. Anal. -TMA

24

Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect, M. Nadeem, J. Dabas,Malaya Journal of Matematik,2015,277-288,3(3), Malaya Journal of Matematik

25

Controllability for a Class of Nonlocal Impulsive Neutral Fractional Functional Differential Equations, G. R. Gautam, J. Dabas,Natural Sciences Publishing Corp.,2015,295-302,1(4), Progr. Fract. Differ. Appl.

26

Mild solution for nonlocal fractional functional differential equation with not-instantaneous impulses, G. R. Gautam, J. Dabas, Elsevier,2015,480-489,259, Applied Mathematics and Computation

27

Fractional Functional Impulsive Differential Equation with Integral Boundary Condition, V. Gupta, J. Dabas,Springer, 2015,417-428,143, Springer proceedings of Mathematical Analysis and its Applications

28

Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay, J. Dabas, G. R. Gautam, A. Chauhan,Ele-Math's journals, 2014,137-150,4(2), Fractional differential calculus

29

Controllability result of impulsive stochastic fractional functional differential equation with infnite delay, M. Nadeem, J. Dabas, IJAAMM-online,2014,9 – 18,2(1), Int. J. Adv. Appl. Math. and Mech.

30

Mild solution for fractional functional integro-differential equation with not instantaneous impulse, G. R. Gautam, J. Dabas, Malaya Journal of Matematik,2014,428-437,2(3), Malaya Journal of Matematik

31

Results of local and global mild solution for impulsive fractional differential equation with state dependent delay, G. R. Gautam, J. Dabas, Ele-Math's journals,2014,429-440,6(3), Differential Equations & Applications

32

Existence result of fractional functional integro-differential equation with not instantaneous impulse, G. R. Gautam, J. Dabas, IJAAMM-online,2014,11 – 21,1(3), Int. J. Adv. Appl. Math. and Mech

33

Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition, A. Chauhan, J. Dabas,Elsevier, 2014,821-829,19(4), Communications in Nonlinear Science and Numerical Simulation

34

Impulsive neutral fractional integro-differential equations with state dependent delays and integral condition, J. Dabas, G. R. Gautam, Texas State University USA,2013,1 – 13,2013, Electron. J. Diff. Equ.

35

Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay, J. Dabas, A. Chauhan, Pergamon, 2013,754-763,57(3-4), Mathematical and Computer Modelling

36

Integral boundary-value problem for impulsive fractional functional differential equations with infinite delay, A. Chauhan, J. Dabas, M. Kumar, Texas State University USA,2012,1 – 13,2012(229), Electronic Journal of Differential Equations

37

Controllability of impulsive fractional order semi-linear evolution equations with nonlocal conditions, N. Tomar, J. Dabas, MDPI,2012,57-67,2012(5), Journal of Nonlinear Evolution Equations and Applications

38

Existence and Uniqueness of a Solution to a Quasilinear Integro-differential equation by the Method of Lines, J. Dabas, InforMath Publishing Group, 2011,393-405,11(4), Nonlinear Dynamics and Systems Theory

39

Existence of mild solutions for impulsive fractional equations with infinite delay, J. Dabas, A. Chauhan, M. Kumar, Hindawi Publishing Corporation, 2011,20 pages, 2011 International Journal of Differential Equations

40

Fractional order Impulsive functional differential equations with nonlocal initial conditions, A. Chauhan, J. Dabas, Texas, 20111 – 10, 2011, Electronic Journal of Differential Equations

41

Existence and uniqueness of the solution of the strongly damped wave equation with integral boundary conditions, J. Dabas, D. Bahuguna, InforMath Publishing Group,2011,65-82,11(1), Nonlinear Dynamics and Systems Theory

42

Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin Method, A. Guezane-Lakoud, J. Dabas, D. Bahuguna Hindawi Publishing Corporation, 2011,14 pages, 2011, International Journal of Mathematics and Mathematical Sciences

43

Integro-differential parabolic problem with an integral boundary condition, J. Dabas, D. Bahuguna, Pergamon, 2009,123-131,50(1-2), Mathematical and Computer Modelling

44

Existence and uniqueness of solutions to a semi-linear partial delay differential equation with an integral condition, D. Bahuguna, J. Dabas, InforMath Publishing Group, 2008,7—19,8(1), Nonlinear Dynamics and Systems Theory

45

Partial functional differential equation with an integral condition and applications to population dynamics, D. Bahuguna, S. Abbas, J. Dabas, Pergamon,2008,2623-2635,69(8), Nonlinear Analysis, Theory, Methods and Applications

46

Existence and uniqueness of solution to a partial integro-differential equation by the Method of Lines, D. Bahuguna, J. Dabas, University of Szeged, Hungary,2008,1 – 12,2008(4), Electronic Journal of Qualitative Theory of Dierential Equations

47

Method of Lines to Hyperbolic Integro-differential Equations in R^n, D. Bahuguna, J. Dabas, R. K. Shukla,InforMath Publishing Group,2008,317-328, 8(4),Nonlinear Dynamics and Systems Theory

 

 

 

 

 

Published Papers in Conference Proceedings

01

Fractional functional impulsive integro-differential equations with integral boundary conditions, V. Gupta, J. Dabas, Springer, 2015,417-428,143, Mathematical Analysis and its applications

02

Mild solutions for impulsive functional differential equations of order αϵ (1; 2), G. R. Gautam, J. Dabas, Springer, 2015, 287-297, 143, Mathematical analysis and its applications

03

Existence of solution for fractional stochastic integro- differential equation with impulsive effect, M. Nadeem, J. Dabas, Springer, 2015, 373-380, 143, Mathematical analysis and its applications

04

Partial integro-differential equations with an integral boundary condition, J. Dabas, D. Bahuguna, DCDIS, 2009, 148-154, Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems

Honors And Awards
MemberShips
American Mathematical Society, USA
02 Feb 2017 - 25 Nov 2020
Member
SIAM USA
07 Dec 2017 - 15 Dec 2020
Member
Teaching Engagements
Teaching Engagements
Mathematics-I ( MAN-001 )
Autumn
Theory of PDE ( MAN-508/518 )
Autumn
Theory of ODE/PDE ( MAN-205 )
Spring
Advanced Mathematics ( MA-501F )
Autumn
Mathematics-II ( MA-102 )
Spring
Numerical Analysis ( MA-202M )
Spring
Students
SuperVisions
A study on approximate controllability of semilinear evaluation system
30 Dec 2016 - 12 Aug 2022
Other Supervisors: , Scholar: Soniya Singh
Variants of method of fundamental solutions for inverse heat conduction problem,
30 Jul 2015 - 19 Aug 2020
Other Supervisors: , Scholar: Surbhi Arora
To investigate the existence of solution for fractional order Initial and Boundary Value Problems
30 Dec 2012 - 01 Jan 2017
Other Supervisors: , Scholar: Vidushi Gupta
To investigate the existence and uniqueness of solutions for fractional functional differential Eq.
02 Jul 2012 - 01 Aug 2016
Other Supervisors: , Scholar: Mohd. Nadeem
To study the mild solutions for some fractional functional dierential equations
01 Jan 2011 - 01 Jul 2015
Other Supervisors: , Scholar: Ganga Ram Gautam
Study of Impulsive Fractional Dierential Equations
01 Jan 2009 - 05 Feb 2013
Other Supervisors: Dr. Mukesh Kumar, Scholar: Archana Chauhan
Miscellaneous
Events
Seminar
04 Aug 2020 - 04 Aug 2020
Approximations and Interpolations Techniques
10 Feb 2020 - 10 Feb 2020
QIT-IITR
RESEARCH SKILLS AND METHODS IN COMPUTATIONAL SCIENCES WITH ENGINEERING APPLICATIONS
01 Jan 2017 - 01 Jan 2017
QIP-IITR
National Program on Differential Equations: Theory, Computations and Applications (NPDE-TCA)
01 Jan 2016 - 01 Jan 2016
DST Govt. India
DST-Inspire Camp
22 Dec 2015 - 22 Dec 2015
DST-Inspire
16 Dec 2014 - 16 Dec 2014
Basic Mathematics.
20 Jan 2014 - 20 Jan 2014
Visits
Comenius University Bratislava, Slovakia
2017-07-10
Collaborative research work
Administrative Positions
DRC Chairman
12 May 2022 - Present
D-AMSC, IITR
Warden
01 Jan 2016 - 01 Jan 2017
IIT Roorkee
OC-Games and Sports
25 Nov 2015 - 25 Nov 2017
IITR SRE Campus
Time-Table and Examination
22 May 2014 - 12 Jun 2017
IITR SRE Campus
Civil Maintenance
01 Jan 2013 - 01 Jan 2015
IITR, SRE Campus
Faculty Advisor Security
01 Jan 2012 - 01 Jan 2014
IITR, SRE Campus