Integral solutions of fractional order mixed type integro-differential equations with non-instantaneous impulses in Banach space

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0152

Abstract

The main objective of this article is to examine the existence and uniqueness of integral solutions for a class of fractional order mixed type integro-differential equations with non-instantaneous impulses and non-densely defined linear operators in Banach spaces. Based on the Banach contraction principle, we develop the main results.

Keywords:

Fractional differential equations, mild solution, non-instantaneous impulses, fixed point theorem

Mathematics Subject Classification:

Mathematics
  • M. Mallika Arjunan Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Avadi-600062, Tamil Nadu, India.
  • Pages: 2212-2214
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

J. Bora and S.N. Bora, Sufficient conditions for existence of integral solution for non-instantaneous impulsive fractional evolution equations, Indian J. Pure Appl. Math., 51(3)(2020), 1065-1082.

H. Gu, Y. Zhou, B. Ahmad and A. Alsaedi, Integral solutions of fractional evolution equations with nondense domain, Electron. J. Differential Equations, 2017(145)(2017), 1-15.

X. Fu, X. Liu and B. Lu, On a new class of impulsive fractional evolution equations, Advances in Difference Equations, 2015(2015), 227.

E. Hernández and D. O'Regan, On a new class of abstract impulsive differential equations, Proc.Amer. Math. Soc., 141(2013), 1641-1649.

M. Mallika Arjunan, Existence results for nonlocal fractional mixed type integro-differential equations with noninstantaneous impulses in Banach space, Malaya Journal of Matematik, 7(4)(2019), 837-840.

B. Zhu, B. Han, L. Liu and W. Yu, On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses, Boundary Value Problems, $2020(2020), 154$.

  • NA

Metrics

Metrics Loading ...

Published

01-10-2020

How to Cite

M. Mallika Arjunan. “Integral Solutions of Fractional Order Mixed Type Integro-Differential Equations With Non-Instantaneous Impulses in Banach Space”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2212-4, doi:10.26637/MJM0804/0152.