EXISTENCE OF SOLUTIONS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING THE CAPUTO TYPE ATANGANA-BALEANU DERIVATIVE

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Amol D. Khandagale, Ahmed A. Hamoud, Kirtiwant P. Ghadle

Abstract

The existence and uniqueness of solutions for FNIDE in the idea of Atangana-Baleanu derivative in
Banach spaces are investigated in this research. In this case, the FD is taken in the Caputo sense. The Banach and
Krasnoselskii-Schaefer FPT are used to show the desired results.

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