Open AccessAn 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.