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New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

Ramasamy Subashini, K. Jothimani, Kottakkaran Sooppy Nisar, C. Ravichandran

2020Alexandria Engineering Journal119 citationsDOIOpen Access PDF

Abstract

In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate the theoretical results.

Topics & Concepts

Fractional calculusMathematicsFixed-point theoremApplied mathematicsDifferential equationWork (physics)Derivative (finance)Mathematical analysisDifferential (mechanical device)PhysicsThermodynamicsEconomicsFinancial economicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFixed Point Theorems Analysis
New results on nonlocal functional integro-differential equations via Hilfer fractional derivative | Litcius