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Basics of fractional calculus and fractional order differential equations

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Introduction

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Fractional differential equations with singular coefficients

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Fractional powers of Bessel operators

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Differential equations with Bessel operator

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Copyright

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Contents

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

References

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Index

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Acknowledgments and thanks

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Front Matter

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Conclusion

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Essentials of transmutations

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

B-potentials theory

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Basic definitions and propositions

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Buschman–Erdélyi integral and transmutation operators

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Applications of transmutations to different problems

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Integral transforms composition method for transmutations

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik

Weighted generalized functions generated by quadratic forms

BOOK CHAPTER published 2020 in Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics

Authors: Elina Shishkina | Sergei Sitnik