Results 31 to 40 of about 310 (184)

Construction of Second‐ and Fourth‐Order RK‐Type Methods for Solving Fractional Differential Equations of the First Order

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
In the present work, two distinct Runge–Kutta methods based on the conformable derivative were introduced for solving fractional differential equations of the first order. Both proposed methods were defined as second‐ and fourth‐order and derived from Taylor series expansions and integral quadrature.
Elyas Arsanjani Toroqi, Seyed Reza Mirshafaei, Rodica Luca   +2 more
wiley   +1 more source

A Poster about the Recent History of Fractional Calculus [PDF]

, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
J. T. MACHADO, V. KIRYAKOVA, Machado, Tenreiro, Kiryakova, Virginia, Mainardi, Francesco   +4 more
core  

Infinitely many solutions for impulsive fractional differential equations through variational methods

, 2021
In this paper, we mainly consider the impulsive fractional differential equation. Under certain assumptions, some new criteria to guarantee the impulsive fractional impulsive fractional differential equation has innitely many solutions are established ...
Gao, Dongdong, Li, Jianli
core  

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Open Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub, Ntouyas Sotiris K., Cuntavepanit Asawathep, Tariboon Jessada   +3 more
doaj   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +1 more source

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

Monotonicity and oscillation for fractional differential equations with Riemann-Liouville derivatives

Demonstratio Mathematica
Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the ...
Bartušek Miroslav, Došlá Zuzana
doaj   +1 more source

On the Traits of Solutions of Multipoint and Multistrip Fractional Boundary Value Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article is concerned with a new class of multipoint and multistrip type nonlocal boundary value problems for nonlinear Caputo fractional differential equations. By employing the tools of the fixed point theory, the existence and uniqueness criteria for solutions of the given problem are presented.
Bashir Ahmad, Naif Almuylibi, Ahmed Alsaedi, Peiguang Wang   +3 more
wiley   +1 more source

Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation

, 2019
A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done.
KUMAR , A Ramamurthy Vidhya, GOPAL, Thangaraj Nandha, SUBRAMANIAN, Muthaiah   +2 more
core   +1 more source