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 …

[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 …

Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves

D Kumar, A Yildirim, MKA Kaabar, H Rezazadeh… - Mathematical …, 2024 - Springer
Some novel solutions to a system of coupled Schrödinger–Korteweg–de Vries equations are
explored in this work by employing the extended sinh-Gordon equation expansion method …

Using the Hilfer–Katugampola fractional derivative in initial-value Mathieu fractional differential equations with application to a particle in the plane

A Berhail, N Tabouche, J Alzabut, ME Samei - Advances in Continuous …, 2022 - Springer
We examine a class of nonlinear fractional Mathieu equations with a damping term. The
equation is an important equation of mathematical physics as it has many applications in …

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 …

On a coupled impulsive fractional integrodifferential system with Hadamard derivatives

M Alam, A Zada, U Riaz - Qualitative theory of dynamical systems, 2022 - Springer
The main intention of the present research study is focused on the analysis of coupled
impulsive fractional integrodifferential system having Hadamard derivatives. With the help of …

[PDF][PDF] Existence, Uniqueness, and Stability of a Nonlinear Tripled Fractional Order Differential System

YA Madani, MNA Rabih, FA Alqarni, Z Ali… - Fractal and …, 2024 - researchgate.net
This manuscript investigates the existence, uniqueness, and different forms of Ulam stability
for a system of three coupled differential equations involving the Riemann–Liouville (RL) …

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 …

New results for higher‐order Hadamard‐type fractional differential equations on the half‐line

T Senlik Cerdik, F Yoruk Deren - Mathematical Methods in the …, 2022 - Wiley Online Library
The purpose of this paper is to analyze a new kind of Hadamard‐type fractional boundary
value problem combining integral boundary condition and multipoint fractional integral …

Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations

R Poovarasan, JF Gómez-Aguilar… - Physica Scripta, 2024 - iopscience.iop.org
This study uses fixed point theory and the Banach contraction principle to prove the
existence, uniqueness, and stability of solutions to boundary value problems involving a Ψ …