SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS

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

doi:10.22342/jims.19.2.167.111-121

H.H.G. Hashem ⁽¹⁾ , A.M.A. El-Sayed ⁽²⁾

(1) Faculty of Science, Qassim University, Buraidah, Saudi Arabia, Saudi Arabia,

(2) Faculty of Science, Alexandria University, Alexandria, Egypt, Egypt

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

Issue
Volume 19 Number 2 (October 2013)

Submitted
March 4, 2014

Accepted
March 4, 2014

Published
March 4, 2014

Keywords:

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

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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

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Authors

H.H.G. Hashem

Faculty of Science, Qassim University, Buraidah, Saudi Arabia

hendhghashem@yahoo.com (Primary Contact)

A.M.A. El-Sayed

Faculty of Science, Alexandria University, Alexandria, Egypt

Hashem, H., & El-Sayed, A. (2014). SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS. Journal of the Indonesian Mathematical Society, 19(2), 111–121. https://doi.org/10.22342/jims.19.2.167.111-121