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Dr. Jaidev
Jaydev Associate Professor jaydafpt[at]iitr.ac.in 0132-2714396
Areas of Interest
• Abstract Differential Equations, Initial and Boundary Value Problems, Fractional Differential Equations
• Approximations of Solutions, Method of Lines
• Inverse and Ill-posed Problems, Inverse problems in PDE
Professional Background
FromToDesignationOrganisation
Nov-2015At PresentAssociate ProfessorIIT Roorkee
Dec-2010Nov-2015Assistant ProfessorIIT Roorkee
Nov-2008March-2009LecturerBITS Pilani Rajasthan
Educational Details
DegreeSubjectUniversityYear
Ph.DMathematicsIIT Kanpur2009
MScMathematicsCCS University Meerut2001
FromToDesignationOrganisationLevel
20162017WardenIIT Roorkee
20152017O/C-Time-TableIITR
20112015O/C Class rooms, Committee roomsIITR, SRE Campus
20122014O/C SecurityIITR, SRE Campus
20132015O/C Civil ManitenanceIITR, SRE Campus
20112015O/C HorticultureIITR, SRE Campus
TopicFunding AgencyYear
To study the existence of mild solutions for some fractional functional differential equations.DST-Fast Track2013
To investigate existence and uniqueness of some fractional order differential equations with impulseFIG-Scheme-A, IIT Roorkee2012
Memberships
• American Mathematical Society, USA, member
• SIAM USA, member
Teaching Engagements
TitleCourse CodeClass NameSemester
Mathematics-IMAN-001B.TechAutumn
Mathematics-IMA-101B.TechAutumn
Mathematics-IIMA-102B.TechSpring
Numerical AnalysisMA-202MB.TechSpring
Engineering ComputationPP-324B.TechSpring
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Year
Study of Impulsive Fractional Di erential EquationsArchana ChauhanA2009
To study the mild solutions for some fractional functional di erential equationsGanga Ram GautamA2011
To investigate the existence and uniqueness of solutions for fractional functional differential Eq.Mohd. NadeemAJuly-2012
To investigate the existence of solution for fractional order Initial and Boundary Value ProblemsVidushi GuptaAJan-2013
Visits to outside institutions
Institute VisitedPurpose of VisitDate
Comenius University Bratislava, SlovakiaCollaborative research workJuly-2017
Participation in short term courses
National Program on Differential Equations: Theory, Computations and Applications (NPDE-TCA)DST Govt. IndiaMarch-2016
RESEARCH SKILLS AND METHODS IN COMPUTATIONAL SCIENCES WITH ENGINEERING APPLICATIONSQIP-IITRMay-2017
Special Lectures Delivered
TitlePlaceDate
To motivate the students towards higher Mathematics. Indraprastha Institute of Technology, Shabajpur Kalan, Post- Rajabpur, Dist- Amroha, U.P16.12.2014
Basics of MathematicsIndraprastha Institute of Technology, Shabajpur Kalan, Post- Rajabpur, Dist- Amroha, U.P
Approximations and Interpolations TechniquesIIT RoorkeeMay-2017
Basic Mathematics.Saraswati Vihar Sinor Scondary school, Saharanpur20.12.2014
Lecture on Historical fact of MathematicsJV Jain Collage Saharanpur22.12.2014
Refereed Journal Papers

Published in refered 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.