Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle

Existence Results for Functional Fractional Fuzzy Impulsive Differential Equations

This paper is concerned with the existence and uniqueness of mild solution to functional fractional fuzzy impulsive differential equations. For the existence and uniqueness we use the Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type.

Existence results for hybrid fractional differential equations with Hilfer fractional derivative

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.

On Existence and Uniqueness of Solution of Fuzzy Fractional Differential Equations

The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we...

Some New Existence, Uniqueness and Convergence Results for Fractional Volterra-Fredholm Integro-Differential Equations

This paper demonstrates a study on some significant latest innovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To this aim, the study uses the modified Adomian decomposition method (MADM) and the modified variational iteration method (MVIM). A wider applicability of these techniques are based on thei...

Fuzzy Local Fractional Differential Equations