Results 41 to 50 of about 486 (149)

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan   +6 more
wiley   +1 more source

Multi-term fractional differential equations with nonlocal boundary conditions

open access: yesOpen Mathematics, 2018
We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir   +3 more
doaj   +1 more source

Positive solution of a fractional differential equation with integral boundary conditions

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2018
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo   +2 more
semanticscholar   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid   +5 more
wiley   +1 more source

Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
Norouzi Fatemeh   +1 more
doaj   +1 more source

Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

open access: yes, 2012
In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s contraction principle ...
B. Ahmad, S. Ntouyas, I. Purnaras
semanticscholar   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin   +4 more
wiley   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

open access: yesDemonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

New Results for p‐Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

open access: yesJournal of Function Spaces, Volume 2024, Issue 1, 2024.
The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao   +2 more
wiley   +1 more source

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

open access: yesJournal of Ocean Engineering and Science, 2019
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati   +3 more
doaj  

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