Fatima Zohra BERRABAH, Benaouda HEDIA, Johnny HENDERSON

9498

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

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 Mönch fixed point theorem combined with the measure of noncompactness of Kuratowski; an example is given to illustrate our approach.
Keywords:

Hadamard fractional derivative, Erdelyi--Kober fractional integral, Caputo fractional derivative measure of noncompactness of Kuratowski, Mönch fixed point theorem, coupled system of differential equations,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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