Results 31 to 40 of about 147 (119)

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

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari, Vivekananda Rayanki, Izhar Ahmad   +2 more
wiley   +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

Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative

Advances in Difference Equations, 2020
In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition.
Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Kanokwan Sitthithakerngkiet, Alhassan Ibrahim   +5 more
doaj   +1 more source

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

Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Adem Kilicman, Shikha Binwal   +5 more
wiley   +1 more source

t^p/p-Laplace transformation for Finite Time Stability for  Composition and Riemann- Katugampola Fractional Integro-Differential Systems

Wasit Journal for Pure Sciences
In this research, the finite-time stability of Multi-Composition  Caputo-Katugampola fractional Integro- Differential Nonlinear system with many values ​​of fractional derivatives is studied with some sufficient and necessary conditions as Lipchitz ...
Mohammed Salah, Sameer Qasim Hasan
doaj   +1 more source

Generalized Composite Fractional Derivatives and Integral Operators With Incomplete R‐Function Kernels

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit, Ravi Gupta, Shyamsunder, Biniyam Shimelis, Shikha Binwal   +4 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