An existence results for a fractional differential equation with Φ-fractional derivative | Zendy

Moustafa Beddani | Zendy; Benaouda Hedia | Zendy

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An existence results for a fractional differential equation with Φ-fractional derivative

Author(s) -

Moustafa Beddani,

Benaouda Hedia

Publication year - 2022

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2203753b

Subject(s) - mathematics , fractional calculus , banach space , fixed point theorem , derivative (finance) , pure mathematics , compact space , mathematical analysis , differential equation , space (punctuation) , linguistics , philosophy , financial economics , economics

In this article, we establish certain sufficient conditions to show the existence of solutions of a fractional differential equation with the ?-Riemann-Liouville and ?-Caputo fractional derivative in a special Banach space. Our approach is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness. Also an example is given to illustrate our approach.

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