Some qualitative properties of nonlinear fractional integro-differential equations of variable order

A Refice, MS Souid, A Yakar - An International Journal of Optimization and …, 2021 - ijocta.org
The existence-uniqueness criteria of nonlinear fractional integro-differential equations of
variable order with multiterm boundary value conditions are considered in this work. By …

[PDF][PDF] Some novel mathematical results on the existence and uniqueness of generalized Caputo-type initial value problems with delay

P Kumar, V Govindaraj, ZA Khan - AIMS Mathematics, 2022 - aimspress.com
In this article, we propose some novel results on the existence and uniqueness of
generalized Caputo-type initial value problems with delay by using fixed point theory. The …

Qualitative Analyses of Fractional Integrodifferential Equations with a Variable Order under the Mittag‐Leffler Power Law

MB Jeelani, AS Alnahdi, MA Almalahi… - Journal of Function …, 2022 - Wiley Online Library
This research paper intends to study some qualitative analyses for a nonlinear fractional
integrodifferential equation with a variable order in the frame of a Mittag‐Leffler power law …

Certain Analysis of Solution for the Nonlinear Two‐Point Boundary Value Problem with Caputo Fractional Derivative

SA Murad - Journal of Function Spaces, 2022 - Wiley Online Library
In this paper, the existence and uniqueness of solutions for a nonlinear fractional differential
equation with a two‐point boundary condition in a Banach space are investigated by using …

[PDF][PDF] Piecewise implicit coupled system under ABC fractional differential equations with variable order

SS Redhwan, M Han, MA Almalahi, MA Alyami… - AIMS Math, 2024 - researchgate.net
This research paper presented a novel investigation into an implicit coupled system of
fractional variable order, which has not been previously studied in the existing literature. The …

New results achieved for fractional differential equations with Riemann–Liouville derivatives of nonlinear variable order

H Abdelhamid, G Stamov, MS Souid, I Stamova - Axioms, 2023 - mdpi.com
This paper proposes new existence and uniqueness results for an initial value problem (IVP)
of fractional differential equations of nonlinear variable order. Riemann–Liouville-type …

Circumventing ill-conditioning arising from using linear multistep methods in approximating the solution of initial value problems

RO Akinola, A Shokri, SW Yao, SY Kutchin - Mathematics, 2022 - mdpi.com
When finding numerical solutions to stiff and nonstiff initial value problems using linear
multistep methods, ill-conditioned systems are often encountered. In this paper, we …

Existence, uniqueness, and stability of solutions to variable fractional order boundary value problems

MS Souıd, Z Bouazza, A Yakar - Journal of New Theory, 2022 - dergipark.org.tr
This paper investigates the sufficient conditions for the existence and uniqueness of a class
of Riemann-Liouville fractional differential equations of variable order with fractional …

Fractional differential equations of Riemann–Liouville of variable order with anti-periodic boundary conditions

B Zoubida, MS Souid, H Günerhan… - Engineering …, 2025 - emerald.com
Purpose The purpose of this paper is to investigate the existence, uniqueness and stability
of solutions to a class of Riemann–Liouville fractional differential equations with anti …

Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions

H Bin Jebreen - Advances in Mathematical Physics, 2023 - Wiley Online Library
The focus of this paper is on utilizing the spectral element method to find the numerical
solution of the fractional Klein–Gordon equation. The algorithm employs interpolating …