ON A COUPLED INTEGRO-DIFFERENTIAL SYSTEM INVOLVING MIXED FRACTIONAL DERIVATIVES AND INTEGRALS OF DIFFERENT ORDERS

doi:10.1007/s10473-021-0420-x

Abstract

Abstract: By applying the standard fixed point theorems, we prove the existence and uniqueness results for a system of coupled differential equations involving both left Caputo and right Riemann-Liouville fractional derivatives and mixed fractional integrals, supplemented with nonlocal coupled fractional integral boundary conditions. An example is also constructed for the illustration of the obtained results.

Key words: Fractional differential equations, Caputo and Riemann-Liouville fractional derivatives, systems, existence, fixed point theorems

CLC Number:

34A08

Bashir AHMAD, Ravi P. AGARWAL, Abrar BROOM, Ahmed ALSAEDI. ON A COUPLED INTEGRO-DIFFERENTIAL SYSTEM INVOLVING MIXED FRACTIONAL DERIVATIVES AND INTEGRALS OF DIFFERENT ORDERS[J].Acta mathematica scientia,Series B, 2021, 41(4): 1366-1384.

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