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Book Synopsis

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.

Fractional Differential and Integral Operators with Respect to a Function

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    A Hardback by Abdon Atangana

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      Book details

      Publisher Springer
      Published 3/16/2025
      ISBN-13 9789819799503
      978-9819799503
      ISBN-10 9819799503

      Description

      Book Synopsis

      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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