Results 21 to 30 of about 77 (60)

Frontmatter

FRONTMATTER Georgian mathematical journal (Rights reserved) (-) Equation characterizations of normal matrices / Tao, Yu (Rights reserved) (-) Boundedness of Marcinkiewicz integral operators on grand variable Herz–Hardy spaces / Shabbir ...

core   +5 more sources

Improved Analytical Technique Based on Laplace Transform and Homotopy Perturbation Method for Solving Fractional Bratu‐Type Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study presents a modified Laplace transform homotopy perturbation method (MLT‐HPM) for obtaining approximate solutions for fractional‐order Bratu‐type ordinary differential equations involving Caputo fractional derivatives. The proposed modification introduces a specific rule for selecting the initial solution, replacing the conventional random ...
Ibrahim Hailat, Patricia J. Y. Wong
wiley   +1 more source

New Perspectives on Nonlinear Time‐Fractional Wave Systems: Structural Analysis, Numerical Precision, and Fractional Wave Dynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper develops a Laplace–Residual Power Series Method (L‐RPSM) for solving nonlinear time‐fractional wave systems in the Caputo sense. The method combines the Laplace transform with a residual power series expansion to construct approximate analytical solutions, where the coefficients are determined recursively through residual conditions.
Fares Bekhouche, Ahmed Bouchenak, Iqbal M. Batiha, Ouidad Boulakour, Nidal Anakira, Irianto Irianto, Tala Sasa, Sining Zheng   +7 more
wiley   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +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

Fractional Modeling of AI‐Driven Cyberattack Waves via Atomic Solutions of a Nonseparable Fractional PDE

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
We utilize a fractional partial differential equation for modeling the spatiotemporal evolution of AI‐driven cyberattacks in networked systems. The model captures fractional scaling effects and the coupling between temporal dynamics and network propagation.
Ahmad Alshanty, Mohammad Rezwan Habib
wiley   +1 more source

Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi, Mamoon Ahmed, Yousef AbuHour, Chang Phang   +3 more
wiley   +1 more source

Fractional Adomian J‐Transform Method for Time‐Fractional Diffusion‐Wave Equations: Theory and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this research, we introduce the fractional Adomian J‐transform method FAJM, which functions as a robust hybrid analytical‐numerical framework. Diverging from traditional transform techniques, the FAJM leverages the specific scaling attributes of the J‐transform to streamline the inversion of nonlocal fractional operators.
Nazek A. Obeidat, Mahmoud S. Rawashdeh, Ali M. Baniatta, Pramita Mishra   +3 more
wiley   +1 more source

Interactions between universal composition operators and complex dynamics

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki   +2 more
wiley   +1 more source

2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness

Fortschritte der Physik, Volume 73, Issue 8, August 2025.
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley   +1 more source