Results 91 to 100 of about 2,984 (190)
Multivariate Caputo left fractional Landau inequalities
Moroccan Journal of Pure and Applied Analysis, 2020 Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
doaj +1 more source
Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]
, 2010 Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens +3 more
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An Historical Perspective on Fractional Calculus in Linear Viscoelasticity
, 2012 The article provides an historical survey of the early contributions on the applications of fractional calculus in linear viscoelasticty. The period under examination covers four decades, since 1930's up to 1970's and authors are from both Western and ...
Mainardi, Francesco
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, 2020 In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully
S. Qureshi, A. Yusuf, S. Aziz
semanticscholar +1 more source
Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation [PDF]
, 2009 Mathematics Subject Classification: 26A33, 76M35, 82B31A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential
Cipriano, F. +2 more
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, 2018 In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
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Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
International Journal of Apllied Mathematics, 2018 In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation.
Ahmed A. Hamoud +3 more
semanticscholar +1 more source
Solvability of an Infinite System of Singular Integral Equations [PDF]
, 2007 2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(
Abbas, Mohamed I., El Borai, Mahmoud M.
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A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia +2 more
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