Results 61 to 70 of about 274 (176)

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  

Pseudo‐Quantum Fractional Calculus and Existence of Solutions for Delay Pseudo‐Fractional Differential Equations in Generalized Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a new framework of pseudo‐q–fractional calculus in generalized Banach spaces by bringing together pseudo‐analysis, G–calculus, and quantum calculus. We introduce Liouville–Caputo and Riemann–Liouville pseudo‐q–fractional operators and outline their main properties. Then, by applying the Banach fixed point principle, we establish the
Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi, Donal O’Regan, Smritijit Sen   +4 more
wiley   +1 more source

On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

Open Mathematics, 2021
We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are
Alsaedi Ahmed, Ahmad Bashir, Alghamdi Badrah, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque, Mohammad Ayman-Mursaleen, Hojjatollah Amiri Kayvanloo, Smritijit Sen   +3 more
wiley   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
doaj   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

Open Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges, Samei Mohammad Esmael, Alzabut Jehad, Chu Yu-ming   +3 more
doaj   +1 more source

Fractional Adomian J‐Transform Method for Time‐Fractional Diffusion‐Wave Equations: Theory and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this research, we introduce the fractional Adomian J‐transform method FAJM, which functions as a robust hybrid analytical‐numerical framework. Diverging from traditional transform techniques, the FAJM leverages the specific scaling attributes of the J‐transform to streamline the inversion of nonlocal fractional operators.
Nazek A. Obeidat, Mahmoud S. Rawashdeh, Ali M. Baniatta, Pramita Mishra   +3 more
wiley   +1 more source

Nonlocal conditions for fractional differential equations

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

Perturbation-iteration approach for fractional-order logistic differential equations

Nonlinear Engineering
In this article, we present an accurate semi-analytical solution for fractional-order logistic equations across a wider domain. We accomplish this by deriving successive approximate solutions using a modified perturbation iteration approach tailored for ...
Owoyemi Abiodun Ezekiel, Phang Chang, Isah Abdulnasir   +2 more
doaj   +1 more source

Fractional Age‐Structured Modeling of Measles: Application of Inverse Methods

Complexity, Volume 2025, Issue 1, 2025.
This study introduces a novel fractional age‐structured Susceptibles‐Exposed‐Infective‐Hospitalized‐Recovered‐Adults (SEIHRA) model, designed to analyze measles transmission dynamics, particularly in younger populations. By incorporating age structure and an innovative inverse method, the model bridges mathematical rigor with empirical data. We examine
Yan Qiao, Chong Li, Azmat Ullah Khan Niazi, Xin Pang, Chongyang Liu   +4 more
wiley   +1 more source