Fractional Differential and Integral Operators with Respect to a Function

Fractional Differential and Integral Operators with Respect to a Function

Theory Methods and Applications

Koca, Ilknur; Atangana, Abdon

Springer Verlag, Singapore

02/2025

366

Dura

9789819799503

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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 Caratheodory 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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Nonlocal Differential Operators Induced by g(t)-Geometry;Nonlocal Integral Operators Induced by g(t)-Geometry;New Inequalities;Existence and Uniqueness of ODE Nonlocal Differential Operators ;Numerical Analysis and Applications