Results 81 to 90 of about 5,086 (192)

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

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

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

Journal of Inequalities and Applications, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei, Mohammed K. A. Kaabar   +3 more
doaj   +1 more source

Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability [PDF]

Bulletin of the Brazilian Mathematical Society, New Series, 2018
15 ...
Sousa, J. Vanterler da C., de Oliveira, E. Capelas   +1 more
openaire   +3 more sources

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

Stability and Superstability of a Linear Functional Equation on Restricted Domains

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the Hyers–Ulam stability and superstability of the functional equation f(x2 + yf(z)) = xf(x) + zf(y) for real‐valued functions f : R⟶R on some restricted subsets of R.
Abbas Najati, Mohammad Amin Tareeghee, Themistocles M. Rassias, Arnab Biswas   +3 more
wiley   +1 more source

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source