Results 11 to 20 of about 857,826 (292)
Operators of Fractional Calculus and Their Applications [PDF]
, 2019 During the past four decades or so, various operators of fractional calculus, such as those named after Riemann–Liouville, Weyl, Hadamard, Grunwald–Letnikov, Riesz, Erdelyi–Kober, Liouville–Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous diverse and widespread fields of
Hari Mohan Srivastava (Ed.) +1 more
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An operational calculus formulation of fractional calculus with general analytic kernels
Electronic Research Archive, 2022 <abstract><p>Fractional calculus with analytic kernels provides a general setting of integral and derivative operators that can be connected to Riemann–Liouville fractional calculus via convergent infinite series. We interpret these operators from an algebraic viewpoint, using Mikusiński's operational calculus, and utilise this algebraic ...
Rani, Noosheza, Fernandez, Arran
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On Fractional Symmetric Hahn Calculus
Mathematics, 2019 In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann−Liouville and Caputo types
Nichaphat Patanarapeelert +1 more
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On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]
Sahand Communications in Mathematical Analysis, 2016 The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
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Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators [PDF]
Abstract and Applied Analysis, 2013 Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators [PDF]
Fractal and FractionalThe role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
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A bibliometric analysis of Atangana-Baleanu operators in fractional calculus
Alexandria Engineering Journal, 2020 Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation and integration operators.
Alexander Templeton
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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Studies in fractal–fractional operators with examples
Examples and CounterexamplesBy using the generalization of the gamma function (p-gamma function: Γp(.)), we introduce a generalization of the fractal–fractional calculus which is called p-fractal fractional calculus.
Rabha W. Ibrahim
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Relations Between the Fractional Operators in q-Calculus
, 2020 In this survey paper, we will consider the fractional operators in q-calculus. Starting from the fractional versions of q-Pochhammer symbol, we generalize the notions of the fractional q-integral and q-derivative by introducing variable lower bound of integration.
Sergei Silvestrov +3 more
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