FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION（2020）

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摘要

We study the existence and uniqueness of solutions for a class of coupled fractional differential equations involving both Riemann-Liouville and Caputo fractional derivatives, and coupled integro-differential boundary conditions. We derive the desired results with the aid of modern methods of functional analysis. An example illustrating the abstract results is also presented.

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关键词

Riemann-Liouville fractional derivative,Caputo fractional derivative,Riemann-Liouville fractional integral,coupled equations,nonlocal boundary conditions

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