Browsing by Author "Srivastava, H. M."
Now showing 1 - 20 of 26
- Results Per Page
- Sort Options
Book Part Coordinate Systems of Cantor-Type Cylindrical and Cantor-Type Spherical Coordinates(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Local Fractional Fourier Transform and Applications(Academic Press Ltd-elsevier Science Ltd, 2016) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunArticle Corrigendum to Series Representations for Fractional-Calculus Operators Involving Generalised Mittag-Leffler Functions(Elsevier B.V., 2020) Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M.This corrigendum corrects two equations presented in the paper “Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions” [Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 517–527]. One error is inconsequential, while the other leads to a missing factor in the statement of one theorem.Book Part Tables of Local Fractional Fourier Transform Operators(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikArticle Citation - WoS: 129Citation - Scopus: 134Series Representations for Fractional-Calculus Operators Involving Generalised Mittag-Leffler Functions(Elsevier, 2019) Baleanu, Dumitru; Srivastava, H. M.; Fernandez, ArranWe consider an integral transform introduced by Prabhakar, involving generalised multi-parameter Mittag-Leffler functions, which can be used to introduce and investigate several different models of fractional calculus. We derive a new series expression for this transform, in terms of classical Riemann-Liouville fractional integrals, and use it to obtain or verify series formulae in various specific cases corresponding to different fractional-calculus models. We demonstrate the power of our result by applying the series formula to derive analogues of the product and chain rules in more general fractional contexts. We also discuss how the Prabhakar model can be used to explore the idea of fractional iteration in connection with semigroup properties. (C) 2018 Elsevier B.V. All rights reserved.Book Part Citation - WoS: 1Local Fractional Fourier Series(Academic Press Ltd-elsevier Science Ltd, 2016) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunEditorial Citation - WoS: 4Citation - Scopus: 4Preface: Recent Advances in Fractional Dynamics(Amer inst Physics, 2016) Baleanu, Dumitru; Li, Changpin; Srivastava, H. M.This Special Focus Issue contains several recent developments and advances on the subject of Fractional Dynamics and its widespread applications in various areas of the mathematical, physical, and engineering sciences. Published by AIP Publishing.Book Part Local Fractional Derivatives of Elementary Functions(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part Citation - WoS: 7Local Fractional Laplace Transform and Applications(Academic Press Ltd-elsevier Science Ltd, 2016) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunBook Part Coupling the Local Fractional Laplace Transform With Analytic Methods(Academic Press Ltd-elsevier Science Ltd, 2016) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunArticle Citation - WoS: 26Citation - Scopus: 22On Local Fractional Continuous Wavelet Transform(Hindawi Ltd, 2013) Tenreiro Machado, J. A.; Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunWe introduce a new wavelet transform within the framework of the local fractional calculus. An illustrative example of local fractional wavelet transform is also presented.Article Citation - WoS: 42Citation - Scopus: 79Local Fractional Sumudu Transform With Application To Ivps on Cantor Sets(Hindawi Ltd, 2014) Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Yang, Xiao-Jun; Srivastava, H. M.Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested in this paper. The presented method is applied to find the non differentiable analytical solutions for initial value problems with local fractional derivative. The obtained results are given to show the advantages.Article Citation - WoS: 148Citation - Scopus: 144Local Fractional Similarity Solution for the Diffusion Equation Defined on Cantor Sets(Pergamon-elsevier Science Ltd, 2015) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunIn this letter, the local fractional similarity solution is addressed for the non-differentiable diffusion equation. Structuring the similarity transformations via the rule of the local fractional partial derivative operators, we transform the diffusive operator into a similarity ordinary differential equation. The obtained result shows the non-differentiability of the solution suitable to describe the properties and behaviors of the fractal content. (C) 2015 Published by Elsevier Ltd.Article Citation - WoS: 24Citation - Scopus: 27A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations(Hindawi Ltd, 2013) Srivastava, H. M.; Baleanu, Dumitru; Yang, Xiao-Jun; Ma, Xiao-JingWe propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations. The integral operator, which is used in our investigation, is of the local fractional integral operator type. Two illustrative examples show the accuracy and the reliability of the obtained results.Book Part Tables of Local Fractional Laplace Transform Operators(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikArticle Citation - WoS: 75Citation - Scopus: 104A Chebyshev Spectral Method Based on Operational Matrix for Fractional Differential Equations Involving Non-Singular Mittag-Leffler Kernel(Springer, 2018) Shiri, B.; Srivastava, H. M.; Al Qurashi, M.; Baleanu, D.In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain the necessary operational matrix of fractional integral using the Clenshaw-Curtis formula. By applying the operational matrix, we obtain a system of linear algebraic equations. The approximate solution is computed by solving this system. The regularity of the solution investigated and a convergence analysis is provided. Numerical examples are provided to show the effectiveness and efficiency of the method.Correction Citation - WoS: 3Citation - Scopus: 2Series Representations for Fractional-Calculus Operators Involving Generalised Mittag-Leffler Functions (Vol 67, Pg 517, 2019)(Elsevier, 2020) Baleanu, Dumitru; Srivastava, H. M.; Fernandez, ArranEditorial Citation - WoS: 4Introduction To Local Fractional Derivative and Integral Operators(Academic Press Ltd-elsevier Science Ltd, 2016) Baleanu, Dumitru; Srivastava, H. M.; Yang, Xiao-JunBook Part Local Fractional Maclaurin's Series of Elementary Functions(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; MatematikBook Part The Analogues of Trigonometric Functions Defined on Cantor Sets(Academic Press Ltd-elsevier Science Ltd, 2016) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; Matematik
