Results 61 to 70 of about 10,260 (153)
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 +3 more
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Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
, 2009 In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J. +2 more
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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 +3 more
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Oscillatory integrals for Mittag-Leffler functions with two variables
Comptes Rendus. MathématiqueIn 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. +2 more
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Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks
Advances in Difference Equations, 2021 In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
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On the analysis of mixed-index time fractional differential equation systems
, 2017 In this paper we study the class of mixed-index time fractional differential equations in which different components of the problem have different time fractional derivatives on the left hand side.
Burrage, Kevin +3 more
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Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan +4 more
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Advances in Difference Equations, 2018 The solutions of system of linear fractional differential equations of incommensurate orders are considered and analytic expressions for the solutions are given by using the Laplace transform and multi-variable Mittag–Leffler functions of matrix ...
Junsheng Duan
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Fractional Stokes-Boussinesq-Langevin equationand Mittag-Leffler correlation decay [PDF]
, 2017 his paper presents some stationary processes which are solutions of the fractional Stokes-Boussinesq-Langevin equation. These processes have reflection positivity and their correlation functions, which may exhibit the Alder-Wainwright effect or long ...
Anh, V. V., Leonenko, Nikolai N.
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Some open questions in analysis for Dirichlet series
, 2016 We present some open problems and describe briefly some possible research directions in the emerging theory of Hardy spaces of Dirichlet series and their intimate counterparts, Hardy spaces on the infinite-dimensional torus.
Saksman, Eero, Seip, Kristian
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