SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS

H.H.G. Hashem, A.M.A. El-Sayed

Abstract


We present existence theorems for coupled systems of quadratic integral equations of fractional order. As applications we deduce existence theorems for twocoupled systems of Cauchy problems. Also, an example illustrating the existence theorem is given.

DOI : http://dx.doi.org/10.22342/jims.19.2.167.111-121


Keywords


Quadratic integral equation of fractional-order; coupled system; Cauchy problems; Schauder fixed point

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DOI: https://doi.org/10.22342/jims.19.2.167.111-121

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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