Results 61 to 70 of about 1,446 (157)

Uniqueness of Solutionfor Nonlinear Implicit Fractional Differential Equation

JOURNAL OF ADVANCES IN MATHEMATICS, 2016
We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bihari and Medved inequalities.
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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

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.
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Analysis of a Coupled System of Implicit Fractional Differential Equations of Order α ∈ (1, 2] with Anti-Periodic Boundary Conditions

Fractal and Fractional
This paper investigates a coupled system of nonlinear implicit fractional differential equations of order α∈(1,2] subject to anti-periodic boundary conditions.
Areen Al-Khateeb, Muath Awadalla, Murugesan Manigandan, Salma Trabelsi   +3 more
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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.
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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
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On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems

Pan-American Journal of Mathematics
Our research is primarily focused on applying the tempered (κ, ψ)-fractional operators to investigate the existence, uniqueness, and κ-Mittag-Leffler-Ulam-Hyers stability of a specific class of boundary value problems involving implicit nonlinear ...
Abdelkrim Salim, Jamal Eddine Lazreg, Mouffak Benchohra   +2 more
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Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

Results in Nonlinear Analysis, 2019
In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’
Abdelouaheb Ardjouni, Ahcene Djoudi
doaj  

Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions. [PDF]

PLoS One
Sharif AA, Hamood M, Ghadle KP.
europepmc   +1 more source

An Inverse Problem for a Fractional Space-Time Diffusion Equation with Fractional Boundary Condition. [PDF]

Entropy (Basel)
Brociek R, Wajda A, Napoli C, Capizzi G, Słota D.   +4 more
europepmc   +1 more source