Results 31 to 40 of about 286 (182)

On the Solution Structure of Sequential φ‐Hilfer Fractional Differential Equations With p‐Laplacian Operator

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid, Khellaf Ould Melha, Mohammad Esmael Samei, Sabri T. M. Thabet, Taoufik Moulahi, Thabet Abdeljawad, Higinio Ramos Calle   +6 more
wiley   +1 more source

Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

, 2012
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core  

Nonlocal conditions for fractional differential equations [PDF]

In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed-point theorem to prove the existence of at least one solution of nonlinear fractional differential
DIB, Fatima, BOUCHERIF, Abdelkader, DAOUDI-MERZAGUI, Naima   +2 more
core   +1 more source

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

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

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  

On singular φ−Laplacian BVPs of nonlinear fractional differential equation [PDF]

This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
TEMAR, Bahia, DJEBALI, Smaïl, SAIFI, Ouiza   +2 more
core   +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

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