Results 101 to 110 of about 19,869 (230)

Generalized Fractional Integral Operators Involving the H―‐Function and Their Applications to Special Functions

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article focuses on the study of fractional integral operators involving the H―‐function. Two main theorems are established that present new fractional integral formulas associated with the H―‐function. Moreover, several well‐known results related to various special functions can be derived as particular cases by assigning suitable parameter values
S. Chandak, B. K. Tripathi, Biniyam Shimelis, Gaston Mandata N′Guerekata   +3 more
wiley   +1 more source

Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

, 2020
This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler ...
K. S. Nisar, D.L. Suthar, R. Agarwal, S. Purohit   +3 more
semanticscholar   +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

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

Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function

European Journal of Pure and Applied Mathematics
Building on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums.
Shahid Khan, Niaz Ali Shah, Hijaz Ahmad, Alwaleed Kamel, Waleed Mohammed Abdelfattah, Osama Oqilat   +5 more
openaire   +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

Solution for fractional generalized Zakharov equations with Mittag-Leffler function

, 2020
The pivotal aim of the present work is to find the solution for fractional generalized Zakharov (FGZ) equations using q -homotopy analysis transform method ( q -HATM). The proposed technique is graceful amalgamations of Laplace transform technique with q
P. Veeresha, D. G. Prakasha
semanticscholar   +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