Results 41 to 50 of about 286 (182)

Transient Chaos in a Jerk System: Zero‐Hopf Bifurcation and Fractional Order Dynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Transient chaos is a phenomenon in which chaotic dynamics persists for a finite time before transitioning to periodic or steady‐state behavior. TS has profound implications across disciplines, from neuroscience to quantum physics and machine learning. Recent studies have highlighted its role in crisis‐induced transitions, early‐time entanglement growth
Sarbast Hussein, Surma H. Ibrahim, Nasser Saeed, Ali A. Shukur, Viet-Thanh Pham, Giuseppe Grassi, Sining Zheng   +6 more
wiley   +1 more source

Generalized Composite Fractional Derivatives and Integral Operators With Incomplete R‐Function Kernels

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit, Ravi Gupta, Shyamsunder, Biniyam Shimelis, Shikha Binwal   +4 more
wiley   +1 more source

Positive solutions for a class of fractional boundary value problems with fractional boundary conditions

, 2018
In this paper, we study the solvability of a nonlinear fractional differential equation under fractional integral boundary conditions. Via a mixed monotone operator method, some new results on the existence and uniqueness of a positive solution for the ...
López Brito, María Belén, Azman, I., Jleli, M., Samet, B., Sadarangani Sadarangani, Kishin Bhagwands   +4 more
core   +1 more source

System of partial differential hemivariational inequalities involving nonlocal boundary conditions

Demonstratio Mathematica
Let FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
doaj   +1 more source

Numerical approach to the controllability of fractional order impulsive differential equations

Demonstratio Mathematica, 2020
In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α∈(1,2]\alpha \in (1,2] with non ...
Kumar Avadhesh, Vats Ramesh K., Kumar Ankit, Chalishajar Dimplekumar N.   +3 more
doaj   +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

Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative

Demonstratio Mathematica
In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao, Feng Meihua, Zhao Xianghong, Yuan Hualei   +3 more
doaj   +1 more source

Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

Demonstratio Mathematica, 2023
In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions.
Alsaedi Ahmed, Alghanmi Madeaha, Ahmad Bashir, Alharbi Boshra   +3 more
doaj   +1 more source

Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 more
wiley   +1 more source

Multi-term fractional differential equations with nonlocal boundary conditions

Open Mathematics, 2018
We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir, Alghamdi Najla, Alsaedi Ahmed, Ntouyas Sotiris K.   +3 more
doaj   +1 more source