Results 131 to 140 of about 4,892,851 (274)

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit   +5 more
wiley   +1 more source

Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we model edge traffic with a conformable fractional partial differential equation that keeps memory in time and space. The solution represents a unit‐free attack pressure, built from a z‐scored edge series, a quiet period baseline, and a partially absorbing boundary that reflects scrubbing and rate limits.
Ahmad Alshanty   +3 more
wiley   +1 more source

Fixed Points of Suzuki Contractive Mappings in Modular b‐Metric Spaces With an Application

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
We introduce the concept of a generalized ZC‐type Suzuki contraction utilizing the generalized framework of metric spaces known as the partial modular b‐metric space in the light of an amorphous binary relation. This conceptual advancement facilitates the derivation of a series of relation–theoretical common fixed‐point theorems, underscoring the ...
Gopi Prasad, Emanuel Guariglia
wiley   +1 more source

A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann   +2 more
wiley   +1 more source

Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar   +3 more
wiley   +1 more source

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