Results 41 to 50 of about 237 (138)

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Analysis of the Existence and Stability of Solutions for a Class of Four‐Term Fractional Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
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

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 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

On a Nonlinear Coupled Fractional Differential System With Multiderivative‐Terms and Coupled Closed Boundary Data

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article is devoted to the study of existence, uniqueness, and Ulam–Hyers stability for a coupled system of two nonlinear Caputo‐type multiterm fractional differential equations equipped with coupled closed boundary data. The concept of coupled closed boundary conditions finds its applications in several physical situations, like composite panels ...
Ahmed Alsaedi, Hafed A. Saeed, Bashir Ahmad, Stanislaw Migorski   +3 more
wiley   +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

A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit, Ravi Gupta, Shyamsunder, D. L. Suthar, Antonio Di Crescenzo   +4 more
wiley   +1 more source

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