Browsing by Author "Srivastava, H.M."

Now showing 1 - 6 of 6

Citation - Scopus: 8
Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics
(Springer Science and Business Media Deutschland GmbH, 2022) Yang, X.-J.; Baleanu, Dumitru; Baleanu, D.; Srivastava, H.M.; 56389; Matematik
In this chapter, the recent results for the analysis of local fractional calculus are considered for the first time. The local fractional derivative (LFD) and the local fractional integral (LFI) in the fractional (real and complex) sets, the series and transforms involving the Mittag-Leffler function defined on Cantor sets are introduced and reviewed. The uniqueness of the solutions of the local fractional differential and integral equations and the local fractional inequalities are considered in detail. The local fractional vector calculus is applied to describe the Rice theory in fractal fracture mechanics. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Citation - Scopus: 0
Advances On Integrodifferential Equations and Transforms
(Hindawi Publishing Corporation, 2015) Srivastava, H.M.; Baleanu, Dumitru; Yang, X.-J.; Baleanu, D.; Nieto, J.J.; Hristov, J.; 56389; Matematik
Citation - Scopus: 7
Initial-boundary value problems for local fractional laplace equation arising in fractal electrostatics
(L and H Scientific Publishing, LLC, 2015) Yang, X.-J.; Baleanu, Dumitru; Srivastava, H.M.; Baleanu, D.; 56389; Matematik
The initial-boundary value problems for the local fractional Laplace equation, which arises in fractal electrostatics, are investigated in this article. The non-differentiable solutions with different initial and boundary conditions are obtained by using the local fractional series expansion method. © 2015 L & H Scientific Publishing, LLC.
Citation - Scopus: 411
Local Fractional Integral Transforms and Their Applications
(Elsevier, 2015) Yang, X.J.; Baleanu, D.; Srivastava, H.M.
Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. © 2016 Elsevier Ltd. All rights reserved.
Citation - Scopus: 37
Local fractional variational iteration algorithms for the parabolic Fokker-Planck equation defined on cantor sets
(Natural Sciences Publishing, 2015) Baleanu, D.; Baleanu, Dumitru; Srivastava, H.M.; Yang, X.-J.; 56389; Matematik
In this article, we apply the local fractional variational iteration algorithms for solving the parabolic Fokker-Planck equation which is defined on Cantor sets. It is shown by comparing with the three LFVIAs that the LFVIA-II is the easiest to obtain the nondifferentiable solutions for linear local fractional partial differential equations. Several other related recent works dealing with local fractional derivative operators on Cantor sets are also indicated. © 2015 NSP.
Citation - Scopus: 30
Methods of Mathematical Modelling: Infectious Diseases
(Elsevier, 2022) Singh, H.; Srivastava, H.M.; Baleanu, D.
Methods of Mathematical Modeling: Infectious Diseases presents computational methods related to biological systems and their numerical treatment via mathematical tools and techniques. Edited by renowned experts in the field, Dr. Hari Mohan Srivastava, Dr. Dumitru Baleanu, and Dr. Harendra Singh, the book examines advanced numerical methods to provide global solutions for biological models. These results are important for medical professionals, biomedical engineers, mathematicians, scientists and researchers working on biological models with real-life applications. The authors deal with methods as well as applications, including stability analysis of biological models, bifurcation scenarios, chaotic dynamics, and non-linear differential equations arising in biology. The book focuses primarily on infectious disease modeling and computational modeling of other real-world medical issues, including COVID-19, smoking, cancer and diabetes. The book provides the solution of these models so as to provide actual remedies. © 2022 Elsevier Inc. All rights reserved.