Jaydev Dabas
Associate professor
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Interests
Abstract Differential Equations, Initial and Boundary Value Problems, Fractional Differential Equations, Approximations of Solutions,, Inverse and Ill-posed Problems,
jaydev@as.iitr.ac.in
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0132-2714396
Biosketch
Educational Details
Professional Background
Administrative Positions

Research
Projects
Papers
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Miscellaneous
BioSketch
Educational Details
IIT Kanpur
2009
Ph.D, Mathematics
CCS University Meerut
2001
MSc, Mathematics
Professional Background
Assistant Professor
20 Dec 2010 - 23 Nov 2015
IIT Roorkee
Associate Professor
23 Nov 2015 - Present
IIT Roorkee
Assistant Professor
16 Mar 2009 - 17 Dec 2010
MNNIT Allahabad
Lecturer
20 Oct 2008 - 06 Mar 2009
BITS Pilani Rajasthan
Administrative Positions
Warden
01 Jan 2016 - 01 Jan 2017
IIT Roorkee
DRC Chairman
12 May 2022 - Present
D-AMSC, IITR
Faculty Advisor Security
01 Jan 2012 - 01 Jan 2014
IITR, SRE Campus
Civil Maintenance
01 Jan 2013 - 01 Jan 2015
IITR, SRE Campus
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
To study the existence of mild solutions for some fractional functional differential equations. 01 Jan 2013 To study the existence of mild solutions for some fractional functional differential equations. 12.48 Lakhs DST-Fast Track
To investigate approximate controllability results of impulsive differential systems 01 Jan 2020 Mathematics 15.64 CSIR New Delhi
Controllability results of semilinear impulsive differential equations. 01 Jan 2020 Mathematics 15.96 NBHM
To investigate existence and uniqueness of some fractional order differential equations with impulse 01 Jan 2012 To investigate existence and uniqueness of some fractional order differential equations with impulse Rs. 2.75 Lakhs FIG-Scheme-A, IIT Roorkee




Honors And Awards
MemberShips
American Mathematical Society, USA
04 Aug 2020 - Present
member
SIAM USA
04 Aug 2020 - Present
member
Teaching Engagements
Teaching Engagements
Mathematics-I ( MAN-001 )
Autumn
Mathematics-I ( MA-101 )
Autumn
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
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
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 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
National Program on Differential Equations: Theory, Computations and Applications (NPDE-TCA)
01 Jan 2016 - Present
DST Govt. India
RESEARCH SKILLS AND METHODS IN COMPUTATIONAL SCIENCES WITH ENGINEERING APPLICATIONS
01 Jan 2017 - Present
QIP-IITR
DST-Inspire
04 Aug 2020 - Present
DST-Inspire
04 Aug 2020 - Present
Approximations and Interpolations Techniques
01 Jan 2017 - Present
Basic Mathematics.
04 Aug 2020 - Present
Seminar
04 Aug 2020 - Present
Visits
Comenius University Bratislava, Slovakia
2017-07-10
Collaborative research work
Refereed Journal Papers

Published in the referred journal:

 

  1. Vidushi Gupta and Jaydev Dabas, Existence results for fractional order boundary value problem with integrable impulse, Dynamics of Continuous,   (Accepted) in Discrete and Impulsive Systems A: Mathematical Analysis, (2018) Manuscript ID:DCDIS-A-650. 
  2. Vidushi Gupta, Jaydev Dabas, and Michal Fečkan, Existence results of solutions for impulsive fractional differential equations, Nonauton. Dyn. Syst. (2018); 5:35–-51
  3. M. Nadeem,  J. Dabas, Impulsive stochastic fractional order integro-differential equations with infinite delay,  Accepted in  Journal of Nonlinear Evolution Equations and Applications (JNEEA), Vol.... (2017) pp...... 
  4. Vidushi Gupta and Jaydev Dabas, Nonlinear fractional boundary value problem with not instantaneous impulse, AIMS Mathematics, 2(2) (2017) 348--359, DOI:10.3934/Math.
  5.  M. Nadeem, J. Dabas, Existence Results for Mild Solution for a Class of Impulsive Fractional Stochastic Problems  with Nonlocal Conditions,  Nonlinear Dynamics and Systems Theory, Vol.(4) (2017) pp 376–-387.
  6. Vidushi Gupta and Jaydev Dabas, Functional impulsive differential equation of order \alpha\in (1, 2) with nonlocal initial and integral boundary conditions, Mathematical Methods in Applied Science, (2016), DOI: 10.1002/mma.41--47. 
  7. M. Nadeem, J. Dabas, Existence of Solution for Nonlinear Stochastic Differential Equations of Order $\alpha\in (1,2)$,  Progress in Fractional Differentiation and Applications, Vol. 2, No. 3 Jul. (2016), pp 217--224.
  8.  Ganga Ram Gautam, J. Dabas, Mild solution for nonlocal fractional functional differential equation with not instantaneous impulse,  International Journal of Nonlinear Science. Vol. 21 (2016)  No.3,  pp. 151--160. 
  9.  Ganga Ram Gautam,  Jaydev Dabas, Existence of mild solutions for impulsive fractional functional integro-differential equations,  Fractional Differential Calculus,  5(1), 65-77, (2015).
  10.  Vidushi Gupta, J. Dabas, Existence Results for a Fractional Integro-Differential Equation with Nonlocal Boundary Conditions and Fractional Impulsive Conditions,  Nonlinear Dynamics and Systems Theory. 15 (4) (2015) 370–-382.
  11.  Vidushi Gupta, Jaydev Dabas, Existence of solution for fractional impulsive integro-differential equation with integral boundary conditions,  Func. Anal.-TMA 1 (2015), 56--68.
  12. M. Nadeem,  J. Dabas, Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect, Malaya Journal of Matematik,. 3(3)(2015) pp. 277–-288.
  13. Ganga Ram Gautam and  Jaydev Dabas, Mild solution for nonlocal fractional functional differential equation with not-instantaneous impulses,  Applied Mathematics and Computation, 259 (2015) pp. 480–-489.
  14.  Vidushi Gupta and Jaydev Dabas, Fractional Functional Impulsive Differential Equation with Integral Boundary Condition, Springer proceedings of Mathematical Analysis and its Applications 143, (2014), 417--428.
  15. Jaydev dabas, Ganga Ram gautam, and Archana Chauhan,existence and uniqueness of mild solution for nonlocal impulsive integro-differential equationwith state dependent delay,  Fractional differential calculus, Volume 4, Number 2 (2014), pp. 137–-150.
  16. M. Nadeem, J. Dabas, Controllability result of impulsive stochastic fractional functional differential equation with infinite delay, Int. J. Adv. Appl. Math. and Mech., 2(1) (2014) pp. 9-18.
  17. Ganga Ram Gautam and Jaydev Dabas, Mild solution for fractional functional integro-differential equation with not instantaneous impulse, Malaya Journal of Matematik, 2(3)(2014) pp. 428–-437.
  18. Ganga Ram Gautam and Jaydev Dabas, Results of local and global mild solution for impulsive fractional differential equation with state dependent delay, Differential Equations and Applications, Volume 6 Issue 3 August 2014, pp. 429--440.
  19. Ganga Ram Gautam and  Jaydev Dabas, Existence result of fractional functional integro-differential equation with not instantaneous impulse, Int. J. Adv. Appl. Math. and Mech, 1(3) (2014) pp. 11--21.
  20. Archana Chauhan and Jaydev Dabas, Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition,  Communications in Nonlinear Science and Numerical Simulation, Vol. 19, Issue 4, April 2014, pp. 821–-829. 
  21. Jaydev Dabas and Ganga Ram Gautam,  Impulsive neutral fractional integro-differential equations with state dependent delays and integral condition, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 273, pp. 1-13.
  22. Jaydev Dabas and Archna Chauhan, Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay,  Mathematical and Computer Modelling. 57 (2013) pp. 754-763.
  23. Archana Chauhan, Jaydev Dabas}, Mukesh Kumar; Integral boundary-value problem for impulsive fractional functional differential equations with infinite delay, Electronic Journal of Differential Equations. Vol. 2012 (2012), No. 229, pp. 1-13.
  24. N. Tomar and Jaydev Dabas, Controllability of impulsive fractional order semilinear evolution equations with nonlocal conditions, Journal of Nonlinear Evolution Equations and Applications. 2012 (5), pp. 57-67, published on August 26, 2012.
  25. Jaydev Dabas, Existence and Uniqueness of a Solution to a Quasilinear Integro-differential equations by the Method of Lines, Nonlinear Dynamics and Systems Theory. 11 (4) (2011) pp. 393–-405.
  26. Jaydev Dabas and Archna Chauhan, Existence of mild solutions for impulsive fractional order differential equations  with infinite delay, International Journal of Differential Equations. Volume 2011 (2011), Article ID 793023, 20 pages.
  27. Archna Chauhan and  Jaydev Dabas, Fractional order Impulsive functional differential equations with nonlocal initial conditions, Electronic Journal of Differential Equations.  Vol. 2011 (2011), No. 107, pp. 1--10. 
  28. Jaydev Dabas and D. Bahuguna, Existence and uniqueness of the solution of the strongly damped wave equation with integral boundary conditions, Nonlinear Dynamics and Systems Theory. 11 (1) 2011, pp. 65--82.
  29. A. Guezane-Lakoud,  Jaydev Dabas and  D. Bahuguna, Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin Method, International Journal of Mathematics and  Mathematical Sciences. Volume 2011 (2011), Article ID 451492, 14 pages.
  30. Jaydev Dabas and D. Bahuguna, Integro-differential parabolic problem with an    integral boundary condition, Mathematical and Computer Modelling. (50) 2009, pp. 123--131. 
  31. Jaydev Dabas and D. Bahuguna, Partial integro-differential equations with an integral boundary condition, Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems, (2009) pp. 148--154 DCDIS A Supplement.
  32. D. Bahuguna and Jaydev Dabas,  Existence and uniqueness of solutions to a semi-linear partial delay differential equation with an integral condition, Nonlinear Dynamics and Systems Theory. 8 (1) 2008, pp. 7--19.
  33. D. Bahuguna, S. Abbas and Jaydev Dabas, Partial functional differential equation with an integral condition and applications to population dynamics, Nonlinear Analysis, Theory, Methods and Applications. Volume 69, Issue 8, 2008, pp.2623--2635.
  34. D. Bahuguna and Jaydev Dabas, Existence and uniqueness of solution to a partial integro-differential equation by the Method of Lines,  Electronic Journal of Qualitative Theory of Differential Equations. No. 4. (2008), pp. 1--12. 
  35. D. Bahuguna, Jaydev Dabas and R. K. Shukla,  Method of Lines to Hyperbolic Integro-differential Equations in ${R}^n"$, Nonlinear Dynamics and Systems Theory. 8 (4) 2008, pp.317--328 

 

 

Presented in International/National Conferences:

  1.   Jaydev Dabas,  Existence results for the class of impulsive fractional differential equation, International conference Equadiff-2017 (July 24-28, 2017) Slovak University of Technology at Bratislava, Slovakia.
  2. J. Dabas, Vidushi Gupta, To study solutions of a class of fractional impulsive integro-differential equations, (ICNODEA July 14-17, 2015) at Cluj-Napoca, Romania.
  3. M. Nadeem, J. Dabas, Existence and uniqueness of solution for impulsive fractional order stochastic integro-differential equations, (ICMES 2014), Conference in Chitkara University Chandigrah.
  4. M. Nadeem, J. Dabas, Existence of solution for fractional stochastic integro-differential equation with impulsive effect, (ICRTMAA-2014), Conference in IIT Roorkee.
  5. Jaydev Dabas,  Existence of mild solution for nonlocal impulsive integro-differential equations with state-dependent delay presented in The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications  (July 7 - 11, 2014) at Madrid, Spain. 
  6. Jaydev Dabas, Existence and uniqueness of solution to an integral boundary value problem for impulsive fractional functional differential equations with infinite delay presented in The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications  (July 1 - 5, 2012) at Orlando, Florida, USA.
  7. Jayde Dabas,  Existence of a mild solutions to a fractional order functional Differential equations with impulsive effects, presented in The 30th Annual Southeastern-Atlantic Regional Conference on Differential Equations (30th-SEARCDE) (Oct 01-02, 2010) at Virginia Tech University Blacksburg, Virginia USA.
  8. Jaydev Dabas, Strongly Damped Wave Equation with Integral Boundary Conditions, presented in The 29th Annual Southeastern-Atlantic Regional Conference on Differential Equations (29th-SEARCDE) (Oct 16-17, 2009) at Mercer University Macon, Gorgia USA.
  9. Jaydev Dabas and D. Bahuguna, Heat Equation Material with Memory with Nonlocal Boundary Conditions, presented in The 6th International Conference on Differential Equations and Dynamical Systems' (May 22-26, 2008) at Morgan State University Baltimore, Maryland USA.
  10. Jaydev Dabas and D. Bahuguna, Partial Integro-differential Equations with Nonlocal Boundary Conditions, presented in 73rd Annual Conference Indian Mathematical Society, (Dec 27-30, 2007) at Department of Mathematics, university Of Pune, India.