Existence results for  \(\psi\)-Caputo hybrid fractional integro-differential equations

Naas Adjimi; Maamar Benbachir; Kaddour Guerbati

doi:10.26637/mjm0902/006

Abstract

In this paper, we study the existence of solutions for hybrid fractional integro-differential equations involving \(\psi\)-Caputo derivative. We use an hybrid fixed point theorem for a sum of three operators due to Dhage for proving the main results. An example is provided to illustrate main results.

Keywords:

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

Mathematics Subject Classification:

34A08 , 26A33 , 34A34

Authors Imprint References Funding Related Articles Downloads

Naas Adjimi Laboratory of Mathematics and Applied Sciences. University of Ghardaia, 47000, Algeria.
Maamar Benbachir Faculty of Sciences, Saad Dahlab University, Blida 1, Algeria.
Kaddour Guerbati Laboratory of Mathematics and Applied Sciences. University of Ghardaia, 47000, Algeria.

Pages: 46-54
Date Published: 01-04-2021
Vol. 9 No. 02 (2021): Malaya Journal of Matematik (MJM)

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