BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH HADAMARD FRACTIONAL INTEGRAL AND ANTI-PERIODIC CONDITIONS

Abdelatif Boutiara, Maamar Benbachir, Kaddour Guerbati

DOI Number
https://doi.org/10.22190/FUMI191022054B
First page
735
Last page
748

Abstract


The aim of this work is to study a class of boundary value problem including a fractional order differential equation involving the Caputo-Hadamard fractional derivative. Suffcient conditions will be presented to guarantee the existence and uniqueness of solution of this fractional boundary value problem. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.


Keywords

fractional differential equation, fractional derivatives and integrals, boundary value problem

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References


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DOI: https://doi.org/10.22190/FUMI191022054B

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