Results 61 to 70 of about 463 (144)

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

Demonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source

Some inequalities obtained by fractional integrals of positive real orders

Journal of Inequalities and Applications, 2020
The primary objective of this study is to handle new generalized Hermite–Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann–Liouville fractional integral operators into one
Mustafa Gürbüz, Yakup Taşdan, Erhan Set   +2 more
doaj   +1 more source

An approximation formula for the Katugampola integral [PDF]

, 2015
The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator.
Almeida, Ricardo, Bastos, Nuno R.O.
core   +1 more source

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

, 2018
The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir, Alsaedi, Ahmed, Kirane, Mokhtar, Torebek, Berikbol T.   +3 more
core   +1 more source

A Review of Certain Modern Special Functions and Their Applications

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed, Mohamed Abdalla, AbdelMaksoud Soliman   +2 more
wiley   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source

Generalized fractional inequalities of the Hermite-Hadamard type for convex stochastic processes [PDF]

, 2020
A generalization of the Hermite–Hadamard (HH) inequality for a positive convex stochastic process, by means of a newly proposed fractional integral operator, is hereby established.
Nwaeze, Eze R., Omaba, McSylvester Ejighikeme   +1 more
core   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source

A new generalized class of fractional operators with weight and respect to another function [PDF]

This paper introduces and investigates the properties of a new generalized class of fractional differential and integral operators. Such newly class covers various definitions of fractional derivatives with singular and non-singular kernels, weighted ...
Hattaf, Khalid
core   +2 more sources

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source