Results 71 to 80 of about 11,986 (150)

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

Oscillatory integrals for Mittag-Leffler functions with two variables

Comptes Rendus. Mathématique
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
Ikromov, Isroil A., Ruzhansky, Michael, Safarov, Akbar R.   +2 more
doaj   +1 more source

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Sajid Mehmood   +3 more
doaj   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Dynamical Behavior and Chaotic Nature of M‐Fractional Paraxial Wave Equation With Three Analytical Methods

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah, Golam Mostafa, Ashek Ahmed, Shikha Binwal   +5 more
wiley   +1 more source

Stability and Stochastic Dynamics of an Extended SUC Epidemic Model With Delays via NSFD Scheme: Implications for Public Health Planning

Complexity, Volume 2026, Issue 1, 2026.
As of April 11, 2025, the World Health Organization (WHO) reports that Pakistan has recorded 1,581,936 confirmed COVID‐19 cases, with 30,664 deaths and 1,538,689 recoveries. Motivated by this context, we develop an extended Susceptible–Uninfected–Carrier (SUC) epidemic model incorporating both time delays and stochastic effects to capture more ...
Wafa F. Alfwzan, Sana Iqbal, Naveed Shahid, Nauman Ahmed, Ali Raza, Emad Fadhal, Lingzhong Guo   +6 more
wiley   +1 more source

Certain unified integral formulas involving five-parameter Mittag-Leffler function

International Journal of Mathematics for Industry
In this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
doaj   +1 more source

A Fractional‐Order Complexity Framework for Misinformation Propagation With Fact‐Checking Saturation and Social Vulnerability Dynamics

Complexity, Volume 2026, Issue 1, 2026.
Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real‐world complexities: People remember past information (memory effects), some folks are more easily fooled than others (vulnerability), and fact‐checkers can get overwhelmed during big outbreaks (saturation).
Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel, Pramita Mishra   +3 more
wiley   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

A Novel Generalized Time-Stepping Scheme for Time-Fractional Reaction–Diffusion Models Using a New Rational Function Approximation of Mittag-Leffler Functions

Axioms
The Mittag-Leffler function holds significant importance in fractional calculus due to its extensive applications in addressing challenges across science, engineering, biology, hydrology, and earth sciences.
Madushi U. Wickramasinghe, Olaniyi S. Iyiola   +1 more
doaj   +1 more source