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On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

Dumitru Bǎleanu, Sina Etemad, Sh. Rezapour

2020Alexandria Engineering Journal108 citationsDOIOpen Access PDF

Abstract

We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions. In this way, we use a generalization of the hybrid Dhage’s fixed point result for sum of three fractional operators. Finally, we give an example to illustrate our main result.

Topics & Concepts

MathematicsBoundary value problemMathematical analysisIntegro-differential equationIntegral equationFractional calculusApplied mathematicsDifferential equationRiccati equationFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems