Fractional Integrals and Derivatives: "True" versus "False"
This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional op...
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| Year of Publication: | 2021 |
| Language: | English |
| Physical Description: | 1 electronic resource (280 p.) |
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(CKB)5400000000046132 (oapen)https://directory.doabooks.org/handle/20.500.12854/68475 (EXLCZ)995400000000046132 |
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Luchko, Yuri edt Fractional Integrals and Derivatives: "True" versus "False" Fractional Integrals and Derivatives Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 1 electronic resource (280 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue. English Research & information: general bicssc Mathematics & science bicssc fractional derivatives fractional integrals fractional calculus fractional anti-derivatives fractional operators integral transforms convergent series fractional integral fractional derivative numerical approximation translation operator distributed lag time delay scaling dilation memory depreciation probability distribution fractional models fractional differentiation distributed time delay systems Volterra equation adsorption fractional differential equations numerical methods smoothness assumptions persistent memory initial values existence uniqueness Crank–Nicolson scheme weighted Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model stability analysis convergence order Caputo–Fabrizio operator Atangana–Baleanu operator fractional falculus general fractional derivative general fractional integral Sonine condition fractional relaxation equation fractional diffusion equation Cauchy problem initial-boundary-value problem inverse problem fractional calculus operators special functions generalized hypergeometric functions integral transforms of special functions 3-0365-0494-X Luchko, Yuri oth |
| language |
English |
| format |
eBook |
| author2 |
Luchko, Yuri |
| author_facet |
Luchko, Yuri |
| author2_variant |
y l yl |
| author2_role |
Sonstige |
| title |
Fractional Integrals and Derivatives: "True" versus "False" |
| spellingShingle |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_full |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_fullStr |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_full_unstemmed |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_auth |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_alt |
Fractional Integrals and Derivatives |
| title_new |
Fractional Integrals and Derivatives: "True" versus "False" |
| title_sort |
fractional integrals and derivatives: "true" versus "false" |
| publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
| publishDate |
2021 |
| physical |
1 electronic resource (280 p.) |
| isbn |
3-0365-0494-X |
| illustrated |
Not Illustrated |
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AT luchkoyuri fractionalintegralsandderivativestrueversusfalse AT luchkoyuri fractionalintegralsandderivatives |
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(CKB)5400000000046132 (oapen)https://directory.doabooks.org/handle/20.500.12854/68475 (EXLCZ)995400000000046132 |
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cr |
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Fractional Integrals and Derivatives: "True" versus "False" |
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