On a coupled Caputo conformable system of pantograph problems

S THABET, S ETEMAD… - Turkish Journal of …, 2021 - journals.tubitak.gov.tr
Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

[HTML][HTML] Stability analysis of solutions and existence theory of fractional Lagevin equation

A Devi, A Kumar, T Abdeljawad, A Khan - Alexandria Engineering Journal, 2021 - Elsevier
The present article describes fractional Langevin equations (FDEs) invloving Caputo
Hadamard-derivative of independent orders connected with non-local integral and non …

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

M Subramanian, M Manigandan, C Tunç… - Journal of Taibah …, 2022 - Taylor & Francis
We investigate a new class of boundary value problems of a nonlinear coupled system of
sequential fractional differential equations and inclusions involving Caputo fractional …

Existence, stability and simulation of a class of nonlinear fractional Langevin equations involving nonsingular Mittag–Leffler kernel

K Zhao - Fractal and Fractional, 2022 - mdpi.com
The fractional Langevin equation is a very effective mathematical model for depicting the
random motion of particles in complex viscous elastic liquids. This manuscript is mainly …

[PDF][PDF] Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order

M Manigandan, S Muthaiah, T Nandhagopal, R Vadivel… - Aims Math, 2022 - aimspress.com
In this article, we investigate new results of existence and uniqueness for systems of
nonlinear coupled differential equations and inclusions involving Caputo-type sequential …

Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point …

M Subramanian, J Alzabut, D Baleanu… - Advances in Difference …, 2021 - Springer
In this paper, we examine the consequences of existence, uniqueness and stability of a multi-
point boundary value problem defined by a system of coupled fractional differential …

Investigation of a coupled system of Hilfer–Hadamard fractional differential equations with nonlocal coupled Hadamard fractional integral boundary conditions

B Ahmad, S Aljoudi - Fractal and Fractional, 2023 - mdpi.com
We investigate the existence criteria for solutions of a nonlinear coupled system of Hilfer–
Hadamard fractional differential equations of different orders complemented with nonlocal …

Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source

NM Dien - Journal of Integral Equations and Applications, 2021 - projecteuclid.org
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 …

Existence and Ulam–Hyers Stability Analysis for Coupled Differential Equations of Fractional-Order with Nonlocal Generalized Conditions via Generalized Liouville …

M Subramanian, S Aljoudi - Fractal and Fractional, 2022 - mdpi.com
In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential
equations of fractional-order with multi-point (discrete) and integral boundary conditions that …

Existence results of langevin equations with caputo–hadamard fractional operator

S Dhaniya, A Kumar, A Khan… - Journal of …, 2023 - Wiley Online Library
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that
involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and …