Results 91 to 100 of about 35,805 (203)

Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations

Discrete Dynamics in Nature and Society, 2020
This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm.
Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Zeeshan Ali, Zhengqing Fu, Jiafa Xu   +5 more
doaj   +1 more source

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

AIMS Mathematics
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 study focused on establishing and developing sufficient conditions for
S. Redhwan, Maoan Han, M. Almalahi, M. Alyami, Mona Alsulami, Najla Alghamdi   +5 more
semanticscholar   +1 more source

Existence and Uniqueness Results for Nonlinear Implicit Fractional Differential Equations with Boundary Conditions [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we establish the existence and uniqueness of solution for a class of boundary value problems for implicit fractional differential equations with Caputo fractional derivative.
Mouffak Benchohra, Jamal E. Lazreg
doaj  

Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo-Fabrizio Fractional Differential Equations

Journal of Function Spaces, 2020
This article studies a class of implicit fractional differential equations involving a Caputo-Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs).
Rozi Gul, Muhammad Sarwar, Kamal Shah, Thabet Abdeljawad, Fahd Jarad   +4 more
doaj   +1 more source

Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations

Mathematics, 2019
This manuscript deals with the existence theory, uniqueness, and various kinds of Ulam–Hyers stability of solutions for a class and coupled system of fractional order differential equations involving Caputo derivatives.
Zeeshan Ali, Poom Kumam, K. Shah, A. Zada   +3 more
semanticscholar   +1 more source

Functional implicit hyperbolic fractional order differential equations with delay

, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbas, S., Benchohra, M., Nieto, J. J.
openaire   +2 more sources

Problem Involving the Riemann-Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Complex
The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability.
Z. Bouazza, M. S. Souıd, H. Günerhan, Ali Shokri   +3 more
semanticscholar   +1 more source

Numerical Modeling of Fractional-Order Biological Systems

Abstract and Applied Analysis, 2013
We provide a class of fractional-order differential models of biological systems with memory, such as dynamics of tumor-immune system and dynamics of HIV infection of CD4+ T cells.
Fathalla A. Rihan
doaj   +1 more source

Stability via successive approximation for nonlinear implicit fractional differential equations

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle.
Kucche Kishor D., Sutar Sagar T.
doaj   +1 more source

The Implicit Euler Scheme for FSDEs with Stochastic Forcing: Existence and Uniqueness of the Solution

Mathematics
In this paper, we focus on fractional stochastic differential equations (FSDEs) with a stochastic forcing term, i.e., to FSDE, we add a stochastic forcing term.
Kęstutis Kubilius
doaj   +1 more source