Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

Vikram Singh; Dwijendra N Pandey

doi:10.26637/MJM0504/0003

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a class of multi-term time-fractional impulsive integro-differential equations with state dependent delay subject to some fractional order integral boundary conditions. In our consideration, we apply the Banach, and Sadovskii fixed point theorems to obtain our main results under some appropriate assumptions. An example is given at the end to illustrate the applications of the established results.

Keywords:

Fractional order differential equations, multi-term time fractional derivative, fractional impulsive conditions, fractional order integral boundary conditions

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Vikram Singh Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.
Dwijendra N Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.

Pages: 625-635
Date Published: 01-10-2017
Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)

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