This paper concerns with the existence and uniqueness of fuzzy fractional evolution
equation with uncertainty involves function of form c D α x (t)= f (t, x (t), D β x (t)), I α x (0)= x 0 …

The purpose of this paper is to present some basic theories of an initial value problem of
fuzzy fractional differential equations involving the Caputo-fuzzy-type concept of fractional …

This paper deals with the following initial value problem for nonlinear fractional differential
equation with sequential fractional derivative:{D 0 α 2 c (| c D 0 α 1 y (x)| p− 2 c D 0 α 1 y …

This article examines the qualitative properties of solutions to systems of boundary value
problems involving fractional differential equations. Our primary interest is in forming new …

A class fuzzy fractional differential equation (FFDE) involving Riemann‐Liouville H‐
differentiability of arbitrary order q> 1 is considered. Using Krasnoselskii‐Krein type …

We explore the existence and uniqueness of solutions to nonlinear fractional differential
equations (FDEs), defined in the sense of RL-fractional derivatives of order η∈(1, 2). The …

This study focuses on investigating the existence and uniqueness of a solution to a specific
type of high-order nonlinear fractional differential equations that include the Rieman …

In this work, we discuss the existence of positive solutions for a class of fractional initial
value problems. For this, we rewrite the posed problem as a Volterra integral equation, then …

We produce new global existence and uniqueness results for solutions to systems of initial
value problems involving fractional differential equations. The uniqueness results rely on …

This paper investigates the existence and uniqueness of solution for a class of nonlinear
fractional differential equations of fractional order 0< α≤ 1 in arbitrary time scales. The …