A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions
SK Ntouyas, HH Al-Sulami - Advances in Difference Equations, 2020 - Springer
In this work we investigate existence and uniqueness of solutions for new coupled systems
of mixed order fractional differential equations and inclusions supplemented with coupled …
of mixed order fractional differential equations and inclusions supplemented with coupled …
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 …
equations of fractional-order with multi-point (discrete) and integral boundary conditions that …
Existence of solutions for nonlinear fractional differential equations and inclusions depending on lower-order fractional derivatives
S Muthaiah, D Baleanu - Axioms, 2020 - mdpi.com
This article deals with the solutions of the existence and uniqueness for a new class of
boundary value problems (BVPs) involving nonlinear fractional differential equations …
boundary value problems (BVPs) involving nonlinear fractional differential equations …
[PDF][PDF] Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory
C Derbazi, H Hammouche - AIMS Mathematics, 2020 - researchgate.net
This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary
value problem of fractional differential equations involving the Caputo–Hadamard fractional …
value problem of fractional differential equations involving the Caputo–Hadamard fractional …
[PDF][PDF] Nonlinear multi-term fractional differential equations with Riemann-Stieltjes integro-multipoint boundary conditions
In this paper, we consider a nonlinear multi-term Caputo fractional differential equation with
nonlinearity depending on the unknown function together with its lower-order Caputo …
nonlinearity depending on the unknown function together with its lower-order Caputo …
On Coupled System of Langevin Fractional Problems with Different Orders of μ-Caputo Fractional Derivatives
L Almaghamsi, Y Alruwaily, K Karthikeyan… - Fractal and …, 2023 - mdpi.com
In this paper, we study coupled nonlinear Langevin fractional problems with different orders
of μ-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary …
of μ-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary …
Existence results for fractional impulsive integro-differential equations with integral conditions of Katugampola type
P Karthikeyan, K Venkatachalam… - Acta Mathematica …, 2021 - iam.fmph.uniba.sk
We study the existence and uniqueness of solutions of impulsive fractional integro-
differential equations of order $\alpha_ {1}\in (2, 3] $ with the Katugampola integral …
differential equations of order $\alpha_ {1}\in (2, 3] $ with the Katugampola integral …
[PDF][PDF] On a fractional differential inclusion involving a generalized Caputo type derivative with certain fractional integral boundary conditions
A Cernea - Journal of Fractional Calculus and Nonlinear Systems, 2022 - sabapub.com
We study a class of fractional differential inclusions defined by Caputo-Katugampola
fractional derivative involving a nonconvex set-valued map in the presence of certain …
fractional derivative involving a nonconvex set-valued map in the presence of certain …
[HTML][HTML] Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay
M Alghanmi, S Alqurayqiri - Fractal and Fractional, 2025 - mdpi.com
This article addresses a new class of delayed fractional multivalued problems
complemented with nonlocal boundary conditions. In view of infinite delay theory, we …
complemented with nonlocal boundary conditions. In view of infinite delay theory, we …
[PDF][PDF] A total variable-order variation model for image denoising
A Hakim, A Ben-Loghfyry - AIMS Mathematics, 2019 - aimspress.com
In this paper, we explore a new variational model based on the fractional derivative and total
variation. Due to some metrics, our approach shows great results compared to other …
variation. Due to some metrics, our approach shows great results compared to other …