Open AccessBoundary value problems for Hilfer fractional differential equations with Katugampola fractional integral and anti-periodic conditions
Author(s) -
Abdellatif Boutiara,
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Maamar Benbachir,
Kaddour Guerbati,
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Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.2.07
Subject(s) - mathematics , uniqueness , boundary value problem , fractional calculus , nonlinear system , mathematical analysis , contraction mapping , fixed point theorem , operator (biology) , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
The purpose of this paper is to investigate the existence and uniqueness of solutions for a new class of nonlinear fractional differential equations involving Hilfer fractional operator with fractional integral boundary conditions. Our analysis relies on classical fixed point theorems and the Boyd-Wong nonlinear contraction. At the end, an illustrative example is presented. The boundary conditions introduced in this work are of quite general nature and can be reduce to many special cases by fixing the parameters involved in the conditions.