JOURNAL ARTICLE

Existence results for hybrid fractional differential equations with Hilfer fractional derivative

Omid BaghaniD. VivekK. Kanagarajan

Year: 2019 Journal:   Caspian Journal of Mathematical Sciences (CJMS)peer Vol: 9 (2)Pages: 294-304

Abstract

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.

Keywords:
Mathematics Fractional calculus Uniqueness Nonlinear system Fixed-point theorem Mathematical analysis Applied mathematics Derivative (finance) Class (philosophy) Differential equation Computer science

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Citation History

Topics

Nonlinear Differential Equations Analysis
Physical Sciences →  Mathematics →  Applied Mathematics
Fractional Differential Equations Solutions
Physical Sciences →  Mathematics →  Modeling and Simulation
Differential Equations and Numerical Methods
Physical Sciences →  Mathematics →  Numerical Analysis

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