
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.
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
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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