A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations | Zendy

Fatima Berrabah | Zendy; Benaouda Hedia | Zendy; Johnny Henderson | Zendy

Open Access

A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations

Author(s) -

Fatima Berrabah,

Benaouda Hedia,

Johnny Henderson

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1812-46

Subject(s) - mathematics , hadamard transform , banach space , mathematical analysis , boundary value problem , fixed point theorem , type (biology) , order (exchange) , measure (data warehouse) , space (punctuation) , pure mathematics , computer science , finance , economics , operating system , database , ecology , biology

In this article, we give sufficient conditions for the existence of solutions for a new coupled system of second-order implicit differential equations with Hadamard and Erdelyi-Kober fractional integral boundary conditions and nonlocal conditions at the boundaries in Banach space. The main result is based on a Monch fixed point theorem combined with the measure of noncompactness of Kuratowski; an example is given to illustrate our approach.

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