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Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions

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  • Josefa Caballero
  • Mohamed Abdalla Darwish
  • Kishin Sadarangani
  • Wafa M. Shammakh

Abstract

We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions and where and denotes the Riemann-Liouville fractional derivative. The main tools in our study are the techniques associated to measures of noncompactness in the Banach algebras and a fixed point theorem of Darbo type.

Suggested Citation

  • Josefa Caballero & Mohamed Abdalla Darwish & Kishin Sadarangani & Wafa M. Shammakh, 2014. "Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:672167
    DOI: 10.1155/2014/672167
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