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On Fractional Order Hybrid Differential Equations

المعادلات التفاضلية الهجينة حسب الترتيب الكسري
Authors: Mohamed A. E. Herzallah; Dumitru Băleanu;

On Fractional Order Hybrid Differential Equations

Abstract

We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order0<α<1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.

Keywords

Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Applied Mathematics, Physics, Fractional calculus, Applied mathematics, Neutral functional-differential equations, Algorithm, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Fractional Calculus, Functional-differential equations with fractional derivatives, Mathematics, Finance

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Average
gold