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On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition

Mandana Talaee, Mehdi Shabibi, Alireza Gilani, Shahram Rezapour

2020Advances in Difference Equations34 citationsDOIOpen Access PDF

Abstract

Abstract It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some integral boundary conditions. We provide an example to illustrate our main result.

Topics & Concepts

MathematicsPointwiseMathematical analysisIntegro-differential equationPartial differential equationBoundary value problemDifferential equationOrdinary differential equationIntegral equationFirst-order partial differential equationFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods