This monograph is devoted to the systematic and comprehensive exposition of classical and modern results in the theory of fractional integrals and their applications. Various aspects of this theory, such as functions of one and several variables, periodical and non-periodical cases, and the technique of hypersingular integrals are studied. All existing types of fractional integro-differentiation are examined and compared. The applications of fractional calculus to first order integral equations with power and power logarithmic kernels, and with special functions in kernels and to Euler-Poisson-Darboux's type equations and differential equations of fractional order are discussed. The text should be of use not only to graduates and postgraduates of mathematical physics and engineering, but also to specialists in the field.
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Text: English (translation)
Original Language: Russian
Original Language: Russian
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The present chapter is of fundamental importance. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractional integration operators, sided fractional integration, triple integral equations, fractional differentiability, symmetric potential theory, fractional order differences, potential type operators, fractional integrals, purely imaginary order, fractional differentiation, dual integral equations, fractional smoothness, hypersingular integrals, fractional calculus, fractional derivatives, limiting exponent, fractional integral operators, cos air, generalized differentiation, continuity modulus, conventional convergence, logarithmic kernels, functions representable, variable lower limit, integral analogue Key Phrases - Capitalized Phrases (CAPs): (learn more)
Meijer G-function, Fox H-function, Gopala Rao, Narain Roop, New Haven New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The present chapter is of fundamental importance. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractional integration operators, sided fractional integration, triple integral equations, fractional differentiability, symmetric potential theory, fractional order differences, potential type operators, fractional integrals, purely imaginary order, fractional differentiation, dual integral equations, fractional smoothness, hypersingular integrals, fractional calculus, fractional derivatives, limiting exponent, fractional integral operators, cos air, generalized differentiation, continuity modulus, conventional convergence, logarithmic kernels, functions representable, variable lower limit, integral analogue Key Phrases - Capitalized Phrases (CAPs): (learn more)
Meijer G-function, Fox H-function, Gopala Rao, Narain Roop, New Haven New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 15
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11
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- Fractional Calculus (Chapman & Hall/CRC Research Notes in Mathematics Series) by Roach McBride on 10 pages
- Methods of Mathematical Physics, Vol. 1 by Richard Courant in Back Matter (1), and Back Matter (2)
- Divergent Series (AMS Chelsea Publishing) by G. H. Hardy in Back Matter
- The Analytical Theory of Heat (Dover Books on Physics) by Joseph Fourier in Back Matter
- Laplace Transform (Mathematics Series) by D. V. Widder in Back Matter
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- Fractal Speech Processing by Marwan Al-Akaidi on page 125
- Pseudo-Differential Equations & Stochastics Over Non-Archimedean Fields (Pure and Applied Mathematics) by Anatoly Kochubei in Back Matter
- Generalized Associated Legendre Functions and Their Applications by Nina Virchenko in Back Matter
- Complexus Mundi: Emergent Patterns in Nature by Miroslav M. Novak on page 41
- Problems and Methods in Mathematical Physics: The Siegfried Prössdorf Memorial Volume - Proceedings of the 11th TMP, Chemnitz, Germany, March 25-28, 1999 (Operator Theory: Advances and Applications) by Johannes Elschner on page 144
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