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A Coupled System of Nonlocal Fractional Differential Equations with Coupled and Uncoupled Slit-Strips-Type Integral Boundary Conditions

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The paper deals with with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions. The existence and… Click to show full abstract

The paper deals with with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions. The existence and uniqueness of solutions is established by using the Banach contraction principle, while the existence of solutions is obtained by using the Leray–Schauder alternative. The results are explained with the help of examples.

Keywords: equations coupled; fractional differential; differential equations; uncoupled slit; coupled uncoupled; coupled system

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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