 Abstract Differential Equations, Initial and Boundary Value Problems, Fractional Differential Equations
 Approximations of Solutions, Method of Lines
 Inverse and Illposed Problems, Inverse problems in PDE
From  To  Designation  Organisation 

Nov2015  At Present  Associate Professor  IIT Roorkee 
Dec2010  Nov2015  Assistant Professor  IIT Roorkee 
March2009  Dec2010  Assistant Professor  MNNIT Allahabad 
Nov2008  March2009  Lecturer  BITS Pilani Rajasthan 
Degree  Subject  University  Year 

Ph.D  Mathematics  IIT Kanpur  2009 
MSc  Mathematics  CCS University Meerut  2001 
From  To  Designation  Organisation  Level 

2016  2017  Warden  IIT Roorkee  
2015  2017  O/CTimeTable  IITR  
2011  2015  O/C Class rooms, Committee rooms  IITR, SRE Campus  
2012  2014  O/C Security  IITR, SRE Campus  
2013  2015  O/C Civil Manitenance  IITR, SRE Campus  
2011  2015  O/C Horticulture  IITR, SRE Campus 
Topic  Funding Agency  Year 

To study the existence of mild solutions for some fractional functional differential equations.  DSTFast Track  2013 
To investigate existence and uniqueness of some fractional order differential equations with impulse  FIGSchemeA, IIT Roorkee  2012 
 American Mathematical Society, USA, member
 SIAM USA, member
Title  Course Code  Class Name  Semester 

MathematicsI  MAN001  B.Tech  Autumn 
MathematicsI  MA101  B.Tech  Autumn 
Advanced Mathematics  MA501F  M.Tech  Autumn 
MathematicsII  MA102  B.Tech  Spring 
Numerical Analysis  MA202M  B.Tech  Spring 
Engineering Computation  PP324  B.Tech  Spring 
Topic  Scholar Name  Status of PHD  Registration Year 

Study of Impulsive Fractional Dierential Equations  Archana Chauhan  A  2009 
To study the mild solutions for some fractional functional dierential equations  Ganga Ram Gautam  A  2011 
To investigate the existence and uniqueness of solutions for fractional functional differential Eq.  Mohd. Nadeem  A  July2012 
To investigate the existence of solution for fractional order Initial and Boundary Value Problems  Vidushi Gupta  A  Jan2013 
Institute Visited  Purpose of Visit  Date 

Comenius University Bratislava, Slovakia  Collaborative research work  July2017 
Couse Name  Sponsored By  Date 

National Program on Differential Equations: Theory, Computations and Applications (NPDETCA)  DST Govt. India  March2016 
RESEARCH SKILLS AND METHODS IN COMPUTATIONAL SCIENCES WITH ENGINEERING APPLICATIONS  QIPIITR  May2017 
Title  Place  Date 

To motivate the students towards higher Mathematics.  Indraprastha Institute of Technology, Shabajpur Kalan, Post Rajabpur, Dist Amroha, U.P  16.12.2014 
Basics of Mathematics  Indraprastha Institute of Technology, Shabajpur Kalan, Post Rajabpur, Dist Amroha, U.P  
Approximations and Interpolations Techniques  IIT Roorkee  May2017 
Basic Mathematics.  Saraswati Vihar Sinor Scondary school, Saharanpur  20.12.2014 
Lecture on Historical fact of Mathematics  JV Jain Collage Saharanpur  22.12.2014 
Published in refered journal:

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:DCDISA650.

Vidushi Gupta, Jaydev Dabas, and Michal Fečkan, Existence results of solutions for impulsive fractional differential equations, Nonauton. Dyn. Syst. (2018); 5:35–51

M. Nadeem, J. Dabas, Impulsive stochastic fractional order integrodifferential equations with infinite delay, Accepted in Journal of Nonlinear Evolution Equations and Applications (JNEEA), Vol.... (2017) pp......
 Vidushi Gupta and Jaydev Dabas, Nonlinear fractional boundary value problem with not instantaneous impulse, AIMS Mathematics, 2(2) (2017) 348359, DOI:10.3934/Math.

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.

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.4147.

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 217224.

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. 151160.

Ganga Ram Gautam, Jaydev Dabas, Existence of mild solutions for impulsive fractional functional integrodifferential equations, Fractional Differential Calculus, 5(1), 6577, (2015).

Vidushi Gupta, J. Dabas, Existence Results for a Fractional IntegroDifferential Equation with Nonlocal Boundary Conditions and Fractional Impulsive Conditions, Nonlinear Dynamics and Systems Theory. 15 (4) (2015) 370–382.

Vidushi Gupta, Jaydev Dabas, Existence of solution for fractional impulsive integrodifferential equation with integral boundary conditions, Func. Anal.TMA 1 (2015), 5668.

M. Nadeem, J. Dabas, Mild solutions for semilinear fractional order functional stochastic differential equations with impulse effect, Malaya Journal of Matematik,. 3(3)(2015) pp. 277–288.
 Ganga Ram Gautam and Jaydev Dabas, Mild solution for nonlocal fractional functional differential equation with notinstantaneous impulses, Applied Mathematics and Computation, 259 (2015) pp. 480–489.
 Vidushi Gupta and Jaydev Dabas, Fractional Functional Impulsive Differential Equation with Integral Boundary Condition, Springer proceedings of Mathematical Analysis and its Applications 143, (2014), 417428.
 Jaydev dabas, Ganga Ram gautam, and Archana Chauhan,existence and uniqueness of mild solution for nonlocal impulsive integrodifferential equationwith state dependent delay, Fractional differential calculus, Volume 4, Number 2 (2014), pp. 137–150.
 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. 918.
 Ganga Ram Gautam and Jaydev Dabas, Mild solution for fractional functional integrodifferential equation with not instantaneous impulse, Malaya Journal of Matematik, 2(3)(2014) pp. 428–437.
 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. 429440.
 Ganga Ram Gautam and Jaydev Dabas, Existence result of fractional functional integrodifferential equation with not instantaneous impulse, Int. J. Adv. Appl. Math. and Mech, 1(3) (2014) pp. 1121.
 Archana Chauhan and Jaydev Dabas, Local and global existence of mild solution to an impulsive fractional functional integrodifferential equation with nonlocal condition, Communications in Nonlinear Science and Numerical Simulation, Vol. 19, Issue 4, April 2014, pp. 821–829.
 Jaydev Dabas and Ganga Ram Gautam, Impulsive neutral fractional integrodifferential equations with state dependent delays and integral condition, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 273, pp. 113.
 Jaydev Dabas and Archna Chauhan, Existence and uniqueness of mild solution for an impulsive neutral fractional integrodifferential equation with infinite delay, Mathematical and Computer Modelling. 57 (2013) pp. 754763.
 Archana Chauhan, Jaydev Dabas}, Mukesh Kumar; Integral boundaryvalue problem for impulsive fractional functional differential equations with infinite delay, Electronic Journal of Differential Equations. Vol. 2012 (2012), No. 229, pp. 113.
 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. 5767, published on August 26, 2012.
 Jaydev Dabas, Existence and Uniqueness of a Solution to a Quasilinear Integrodifferential equations by the Method of Lines, Nonlinear Dynamics and Systems Theory. 11 (4) (2011) pp. 393–405.
 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.
 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. 110.
 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. 6582.
 A. GuezaneLakoud, 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.
 Jaydev Dabas and D. Bahuguna, Integrodifferential parabolic problem with an integral boundary condition, Mathematical and Computer Modelling. (50) 2009, pp. 123131.
 Jaydev Dabas and D. Bahuguna, Partial integrodifferential equations with an integral boundary condition, Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems, (2009) pp. 148154 DCDIS A Supplement.
 D. Bahuguna and Jaydev Dabas, Existence and uniqueness of solutions to a semilinear partial delay differential equation with an integral condition, Nonlinear Dynamics and Systems Theory. 8 (1) 2008, pp. 719.
 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.26232635.
 D. Bahuguna and Jaydev Dabas, Existence and uniqueness of solution to a partial integrodifferential equation by the Method of Lines, Electronic Journal of Qualitative Theory of Differential Equations. No. 4. (2008), pp. 112.
 D. Bahuguna, Jaydev Dabas and R. K. Shukla, Method of Lines to Hyperbolic Integrodifferential Equations in ${R}^n"$, Nonlinear Dynamics and Systems Theory. 8 (4) 2008, pp.317328.
Presented in International/National Conferences:
 Jaydev Dabas, Existence results for the class of impulsive fractional differential equation, International conference Equadiff2017 (July 2428, 2017) Slovak University of Technology at Bratislava, Slovakia.
 J. Dabas, Vidushi Gupta, To study solutions of a class of fractional impulsive integrodifferential equations, (ICNODEA July 1417, 2015) at ClujNapoca, Romania.
 M. Nadeem, J. Dabas, Existence and uniqueness of solution for impulsive fractional order stochastic integrodifferential equations, (ICMES 2014), Conference in Chitkara University Chandigrah.
 M. Nadeem, J. Dabas, Existence of solution for fractional stochastic integrodifferential equation with impulsive effect, (ICRTMAA2014), Conference in IIT Roorkee.
 Jaydev Dabas, Existence of mild solution for nonlocal impulsive integrodifferential 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.
 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.
 Jayde Dabas, Existence of a mild solutions to a fractional order functional Differential equations with impulsive effects, presented in The 30th Annual SoutheasternAtlantic Regional Conference on Differential Equations (30thSEARCDE) (Oct 0102, 2010) at Virginia Tech University Blacksburg, Virginia USA.
 Jaydev Dabas, Strongly Damped Wave Equation with Integral Boundary Conditions, presented in The 29th Annual SoutheasternAtlantic Regional Conference on Differential Equations (29thSEARCDE) (Oct 1617, 2009) at Mercer University Macon, Gorgia USA.
 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 2226, 2008) at Morgan State University Baltimore, Maryland USA.
 Jaydev Dabas and D. Bahuguna, Partial Integrodifferential Equations with Nonlocal Boundary Conditions, presented in 73rd Annual Conference Indian Mathematical Society, (Dec 2730, 2007) at Department of Mathematics, university Of Pune, India.