7 Results Found

We discuss the solvability of a $(p,q)$-difference equation of fractional order $\alpha \in (1,2]$, equipped with anti-periodic boundary conditions involving the first-order $(p,q)$-difference operator. The desired results are accomplished with the aid o...

In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): ^c $D_{0^{+}}^{q}u\left(t\right)=f(t,u\left(t\right)),t\in [0,T]$ , ${\displaystyle u^{\left(k\right)}}$...

Fractional calculus provides some fractional operators for us to model different real-world phenomena mathematically. One of these important study fields is the mathematical model of the elastic beam changes. More precisely, in this paper, based on t...

This communication addresses a comparison of newly presented non-integer order derivatives with and without singular kernel, namely Michele Caputo–Mauro Fabrizio (CF) ${}^{CF}\left({\partial }^{\beta }/\partial t^{\beta }\right)$ and Atangana–Baleanu (AB) ${}^{}$...

We study a delayed semilinear evolution equation with a Caputo time derivative and the spectral fractional Dirichlet Laplacian on a bounded connected domain. The model separates two forms of memory: the Caputo operator retains the distributed Volterr...

Advanced persistent threats exploit long-range temporal dependencies and multi-source uncertainty, challenging conventional security situational awareness. This paper integrates fractional calculus, quantum state fusion, and memory-enhanced optimizat...

We consider a coupled system of Caputo–Katugampola integro–fractional stochastic differential equations with Volterra memory, nonlocal integral boundary conditions, Wiener perturbations, and compensated Poisson jumps. The main purpose is...