Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results
نویسنده
چکیده
Correspondence: q.almdallal@uaeu. ac.ae Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 17551, Al-Ain, UAE Abstract This article is devoted to both the theoretical and numerical study of boundary-value problems for nonlinear fractional integro-differential equations. Positivity and uniqueness results for the problem are provided and proved. Two monotone sequences of upper and lower solutions which converge uniformly to the unique solution of the problem are constructed using the method of lower and upper solutions. Sufficient numerical examples are discussed to corroborate the theory presented herein.
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تاریخ انتشار 2012