Results 71 to 80 of about 3,612 (180)

Existence and Uniqueness of Solutions to Initial Value Problems of High‐Order Fractional Fuzzy Differential Equations

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi, Wenbin Bao, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Mathematical Modeling of Societal Challenges: A Fractional Analysis Perspective

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The prevalence of societal issues, such as violence that affects women, has skyrocketed worldwide. To create a society where women can reach their full potential, we need to address the violence and other obstacles that stand in their way, requiring a thoughtful and nuanced mathematical modeling approach.
Binandam Stephen Lassong, Munkaila Dasumani, Boubacar Diallo, Nnaemeka Stanley Aguegboh, Walter Okongo, George Asumadu, Keshlan S. Govinder   +6 more
wiley   +1 more source

A Caputo discrete fractional-order thermostat model with one and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality

Journal of Inequalities and Applications, 2022
A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality.
Jehad Alzabut, A. George Maria Selvam, Raghupathi Dhineshbabu, Swati Tyagi, Mehran Ghaderi, Shahram Rezapour   +5 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
core   +1 more source

Hyers–Ulam stability on local fractal calculus and radioactive decay

, 2021
In this paper, we summarize the local fractal calculus, called $$F^{\alpha }$$-calculus, which defines derivatives and integrals of functions with fractal domains of non-integer dimensions, functions for which ordinary calculus fails.
Golmankhaneh, Alireza, Cemil Tunç, Alireza Khalili Golmankhaneh, Şevli, Hamdullah, Hamdullah Şevli, Tunç, Cemil   +5 more
core   +1 more source

Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani, Rabha W. Ibrahim, Dumitru Baleanu, Serbay Duran   +3 more
wiley   +1 more source

Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
wiley   +1 more source

Hyers-Ulam stability of n th order linear differential equation

, 2019
In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series ...
Murali, R., Selvan, A. Ponmana
core   +1 more source