Analytical studies of fuzzy fractional differential equations (FFDEs) of two different
independent fractional orders are often complex and difficult. It is essential to develop …

Multi-order fractional differential equations have been studied due to their applications in
modeling, and solved using various mathematical methods. We present explicit analytical …

By employing Shauder fixed-point theorem, this work tries to obtain the existence results for
the solution of a nonlinear Langevin coupled system of fractional order whose nonlinear …

Langevin differential equations with fractional orders play a significant role due to their
applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly …

We study a nonlinear Langevin equation involving Caputo fractional derivatives of a function
with respect to another function in a Banach space. Unlike previous papers, we assume the …

The foremost goal of this paper is to study the sufficient conditions for controllability of Hilfer
fractional Langevin dynamical system with impulse. The main results are obtained by using …

In this work, we discuss the existence and uniqueness of solution for a boundary value
problem for the Langevin equation and inclusion with the Hilfer fractional derivative. First of …

Modern scientific thinking adopts the systemic properties and addresses them through
revealing the spontaneous processes related to self-organization in a dynamical system in a …

In this paper, we deal with the existence and uniqueness of solution for ψ‐Hilfer Langevin
fractional pantograph differential equation and inclusion; these types of pantograph …

Axioms | Free Full-Text | A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type
Contraction Map** with an Application Next Article in Journal Nabla Fractional Derivative …