Results 41 to 50 of about 346 (92)
A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini +5 more
wiley +1 more source
Certain composition formulae for the fractional integral operators
, 2017 In this paper we establish some (presumably new) interesting expressions for the composition of some well known fractional integral operators $ I^{\mu}_{a+}, D^{\mu}_{a+} $,$ I^{\gamma , \mu}_{a+}$ and also derive an integral operator $\mathcal{H}^{w;m,n;
Agarwal, Praveen, Harjule, Priyanka
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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ON THE MULTI-INDEX MITTAG-LEFFLER FUNCTIONS AND THEIR MELLIN TRANSFORMS
, 2020 In this survey paper we consider the classes of the multi-index Mittag-Leffler functions, introduced and studied by the authors as extensions of the classical Mittag-Leffler functions Eα,β and of the Prabhakar function E γ α,β, by means of replacing the ...
J. Paneva-Konovska, V. Kiryakova
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A New q‐Integral Operator Containing Generalized q‐Mittag‐Leffler Function
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this study, we employ the mathematical framework of q‐calculus to introduce a novel integral operator that incorporates the generalized q‐Mittag‐Leffler function. Following this introduction, we delve into an in‐depth analysis of several significant properties and potential applications of this integral operator. Additionally, we explore a number of
Mulugeta Dawud Ali +2 more
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Partial Differential Equations in Applied MathematicsIn this article, natural transform of k-Prabhakar integral, k-Prabhakar derivative, k-Hilfer-Prabhakar fractional derivative (k-HPFD) are calculated. In addition, we also obtain the natural transform of regularized versions of k-Prabhakar integral, k ...
Ved Prakash Dubey +4 more
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Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]
, 2007 Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Tomovski, Živorad
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Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]
, 2014 This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
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Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami +5 more
wiley +1 more source
Inverse Problem for Fractional Diffusion Equation [PDF]
, 2011 MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion ...
Tuan, Vu Kim
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