Fractional Differential and Integral Operators with Respect to a Function

Theory Methods and Applications

Inbunden, Engelska, 2025

AvAbdon Atangana,İlknur Koca,Ilknur Koca,İlknur Koca,¿Lknur Koca

2 159 kr

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This book explores the fundamental concepts of derivatives and integrals in calculus, extending their classical definitions to more advanced forms such as fractional derivatives and integrals.

Produktinformation

Utgivningsdatum2025-02-12
Mått155 x 235 x 29 mm
Vikt797 g
FormatInbunden
SpråkEngelska
SerieIndustrial and Applied Mathematics
Antal sidor412
FörlagSpringer Verlag, Singapore
ISBN9789819799503

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Beräkning och matematisk analys inom Naturvetenskap och teknik

History of differential and integral calculus.-Global derivatives, definitions and properties.- Integral operators, definitions and properties.- Inequalities related to global fractional derivatives.- Inequalities associated to Integrals.- Existence and Uniqueness of IVP with global differentiation on via Picard iteration.- Existence and uniqueness via Carathéodory approach.- Existence and uniqueness analysis of nonlocal global differential equations with expectation approach.- Chaplygin’s method for global differential equations.- Numerical analysis of IVP with classical global derivative.-Numerical analysis of IVP with Riemann-Liouville global derivative.- Numerical analysis of IVP with Caputo-Fabrizio global derivative.- Numerical analysis of IVP with Atangana-Baleanu global derivative.- Examples and applications of global fractional differential equations.

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