Abstract
In this article, we study the existence and uniqueness of solutions for nonlinear fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions. The existence results are based on Krasnoselskii’s and Schaefer’s fixed point theorems, whereas the uniqueness result is based on the contraction mapping principle. Examples illustrating the applicability of our main results are also constructed.
MSC 2010: Primary 34A08; Secondary 34A12, 34A60
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Duraisamy, P., Nandha Gopal, T. & Subramanian, M. Analysis of Fractional Integro-Differential Equations with Nonlocal Erdélyi-Kober Type Integral Boundary Conditions. Fract Calc Appl Anal 23, 1401–1415 (2020). https://doi.org/10.1515/fca-2020-0069
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DOI: https://doi.org/10.1515/fca-2020-0069