The current paper intends to report the existence and uniqueness of positive solutions for
nonlinear pantograph Caputo–Hadamard fractional differential equations. As part of a …

The main aim of this paper is to prove the Ulam–Hyers stability of solutions for a new form of
nonlinear fractional Langevin differential equations involving two fractional orders in the ψ …

We study the existence and uniqueness of positive solutions of the nonlinear fractional
differential equation {^ CD^ α x\left (t\right)= f (t, x (t))+^ CD^ α-1 g\left (t, x\left …

In this paper, we prove the existence and uniqueness of a positive solution of nonlinear
Hadamard fractional differential equations with integral boundary conditions. In the process …

We study initial value problems of sequential fractional differential equations and inclusions
involving a Caputo type differential operator of the form: $\left (^{C} D …

Recently, many scientists have studied a wide range of strategies for solving characteristic
types of symmetric differential equations, including symmetric fractional differential …

We obtain in this article a solution of sequential differential equation involving the Hadamard
fractional derivative and focusing the orders in the intervals (1, 2) and (2, 3). Firstly, we …

In this article we investigate some qualitative properties for a class of hybrid nonlinear
fractional differential equations. The existence, uniqueness, monotonicity and positivity of …

Fractional calculus has rapidly evolved into an interesting field of research in view of its
numerous applications in technical and applied sciences. The main reason for this …

We prove the existence and uniqueness of a positive solution of nonlinear Caputo-
Hadamard fractional differential equations. In the process we employ the Schauder and …