Ministry of Education
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Dr Avadhesh Kumar

vidwan id: 304676
Male

Assistant Professor, School of Advanced Sciences
Vellore Institute of Technology (VIT-AP) University, Andhra Pradesh

Orchid Icon 0000-0003-2206-5377 Google Scholar Icon 57214420063 Google Scholar Icon 2ZkOauEAAAAJ

Expertise

  • Mathematics

Publications

Total Articles 27
Books 0
Proceedings 0

Publications

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Scopus

Citations 437
h-index 13

CrossRef

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Citations 292
h-index 10
Google Scholar

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Professional Recognition

2017

Best Paper Presentation

International Conference on Mathematics and Mathematical Sciences (ICMMS 2017), Paris, France
2016

National Eligibility Test - Junior Research Fellowship, (AIR-126)

CSIR New Delhi, India
2012

Graduate Aptitude Test in Engineering, (AIR-167)

IIT Delhi, India
2006

Joint Admission for M.Sc., (AIR-95)

IIT Delhi, India

Community & Membership

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Bio

Impulsive differential equation, Fractional and delay differential equation, Mathematical control theory, Stability theory

Personal Details

  • Male
  • Assistant Professor , Vellore Institute of Technology (VIT-AP) University, Andhra Pradesh
  • School of Advanced Sciences,VIT-AP University
Ph.D.
Other Institute 2018
M.Tech.
Other Institute 2014
M.Sc.
Other Institute 2008
Assistant Professor Mar 2022 – Present
Vellore Institute of Technology (VIT-AP) University, Andhra Pradesh | School of Advanced Sciences
Assistant Professor (Grade-I) Jun 2019 – Mar 2022
Sri Sathya Sai Institute of Higher Learning | Department of Mathematics and Computer Science
Research Associate Oct 2018 – May 2019
National Institute of Technology, Hamirpur | Department of Mathematics

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Dr Arun Kumar Sinha

Associate Professor

Arun Kumar

Dr Arun Kumar Yadav

Assistant Professor

Atul S M

Dr Atul S M Tripathi

Associate Professor

Co-Authors (6)

Syed

Dr Syed Abbas

Indian Institute of Technology Mandi

Rajesh

Dr Rajesh Dhayal

Thapar Institute of Engineering & Technology

Sakthivel

Prof Sakthivel Rathinasamy

Bharathiar University

Muslim

Dr Muslim Malik

Indian Institute of Technology Mandi

Ramesh Kumar

Dr Ramesh Kumar Vats

National Institute of Technology, Hamirpur

Vijayakumar

Dr Vijayakumar Velusamy

Vellore Institute of Technology, Vellore

Scholarly Work

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Scholarly Publications

Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Open Access
Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2021. Volume: 44 , Issue: 5 , Pages: 4192-4204 .
Authors: Nain A.;Vats R.;Kumar A.
DOI 10.1002/mma.7024
11 22

Existence and controllability results to second order neutral differential equation with non-instantaneous impulses

Open Access
Article
Journal of Control and Decision. Year: 2020. Volume: 7 , Issue: 3 , Pages: 286-308 .
Authors: Malik M.;Kumar A.
DOI 10.1080/23307706.2019.1571449
14 17

Numerical approach to the controllability of fractional order impulsive differential equations

Open Access
Article
Demonstratio Mathematica. Year: 2020. Volume: 53 , Issue: 1 , Pages: 193-207 .
Authors: Kumar A.;Vats R.K.;Kumar A.;Chalishajar D.N.
DOI 10.1515/dema-2020-0015
13 19

Caputo-hadamard fractional differential equation with impulsive boundary conditions

Open Access
Article
Year: 2020. Volume: 9 , Issue: 1 , Pages: 93-106 .
Authors: Nain A.K.;Vats R.K.;Kumar A.
DOI 10.22124/jmm.2020.16449.1447
16

Trajectory controllability of fractional differential systems of order α∈ (1 , 2] with deviated argument

Open Access
Article
Year: 2020. Volume: 28 , Issue: 1 , Pages: 295-304 .
Authors: Muslim M.;Kumar A.
DOI 10.1007/s41478-018-0081-x
6 9

Approximate Controllability of Second-order Non-autonomous System with Finite Delay

Open Access
Article
Journal of Dynamical and Control Systems. Year: 2020. Volume: 26 , Issue: 4 , Pages: 611-627 .
Authors: Kumar A.;Vats R.K.;Kumar A.
DOI 10.1007/s10883-019-09475-0
25 41

Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses

Open Access
Article
Year: 2019. Volume: 113 , Issue: 1 , Pages: 103-118 .
Authors: Malik M.;Dhayal R.;Abbas S.;Kumar A.
DOI 10.1007/s13398-017-0454-z
20 32

Existence, uniqueness and Ulam's stability of solutions for a coupled system of fractional differential equations with integral boundary conditions

Open Access
Article
Year: 2018. Volume: 6 , Issue: 6 .
Authors: Dimplekumar Chalishajar ., Avadhesh Kumar .,
DOI 10.3390/math6060096
19 22