On fractional Volterra-Fredholm integro-differential systems with non-dense domain and non-instantaneous impulses

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DOI:

https://doi.org/10.26637/MJM0804/0154

Abstract

The key purpose of this manuscript is to examine the existence and uniqueness of integral solutions for a class of fractional Volterra-Fredholm integro-differential systems with non-instantaneous impulses and non-densely defined linear operators in Banach spaces. We are constructing the main findings on the basis of the Banach contraction theory. An example is given to support the validation of the theoretical results achieved.

Keywords:

Fractional differential equations, Integral 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: 2228-2232
  • 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.

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.

A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, vol. 204. Elsevier, Amsterdam, 2006.

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.

Y. Zhou and F. Jiao, Nonlocal Cauchy problem for fractional evolution equations, Nonlinear Anal., Real World Appl. 11(2010), 4465-4475.

Y. Zhou and F. Jiao, Existence of mild solutions for fractional neutral evolution equations, Comput. Math. Appl., 59(2010), 1063-1077.

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Published

01-10-2020

How to Cite

M. Mallika Arjunan. “On Fractional Volterra-Fredholm Integro-Differential Systems With Non-Dense Domain and Non-Instantaneous Impulses”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2228-32, doi:10.26637/MJM0804/0154.