Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
  • Author : Elina Shishkina
  • Release Date : 24 July 2020
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 592
  • ISBN 13 : 9780128204078

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics Book Summary

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details Enables researchers, lecturers and students to find material under the single "roof"

Transmutations  Singular and Fractional Differential Equations with Applications to Mathematical Physics

Transmutations Singular and Fractional Differential Equations with Applications to Mathematical Physics

Author : Elina Shishkina,Sergei Sitnik
Publisher : Academic Press
Genre : Mathematics
Total View : 9507 Views
File Size : 40,9 Mb
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Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. ...

Operator Theory and Harmonic Analysis

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Publisher : Springer Nature
Genre : Mathematics
Total View : 4950 Views
File Size : 54,7 Mb
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This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This ...

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Author : Vladislav V. Kravchenko
Publisher : Springer Nature
Genre : Mathematics
Total View : 3303 Views
File Size : 50,6 Mb
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This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators ...

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Publisher : Academic Press
Genre : Science
Total View : 7094 Views
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Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding ...

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Author : Francesco Mainardi
Publisher : World Scientific
Genre : Mathematics
Total View : 3304 Views
File Size : 47,9 Mb
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Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in ...

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Publisher : Springer Nature
Genre : Science
Total View : 6210 Views
File Size : 54,7 Mb
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The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication ...

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Author : Vladislav V. Kravchenko,Sergei M. Sitnik
Publisher : Springer Nature
Genre : Mathematics
Total View : 3109 Views
File Size : 49,7 Mb
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Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential ...

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Publisher : Elsevier
Genre : Mathematics
Total View : 9151 Views
File Size : 54,5 Mb
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This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations....