Initial time difference quasilinearization for Caputo fractional differential equations

DOI10.1186/1687-1847-2012-92zbMath1294.34010OpenAlexW2165612000WikidataQ59289228 ScholiaQ59289228MaRDI QIDQ2448046

Ali Yakar

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-92

zbMATH Keywords

quadratic convergencequasilinearization techniqueCaputo fractional differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Growth and boundedness of solutions to ordinary differential equations (34C11) Fractional ordinary differential equations (34A08)

Related Items (13)

Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations ⋮ Rapid convergence of approximate solutions for fractional differential equations ⋮ Existence criteria for positive solutions of \(p\)-Laplacian fractional differential equations with derivative terms ⋮ On the fundamental solutions of a discontinuous fractional boundary value problem ⋮ Fractional differential equations with fractional impulsive and nonseparated boundary conditions ⋮ Two computational algorithms for the numerical solution for system of fractional differential equations ⋮ A modified quasilinearization method for fractional differential equations and its applications ⋮ Discontinuous fractional Sturm-Liouville problems with transmission conditions ⋮ Iterative techniques with computer realization for the initial value problem for Caputo fractional differential equations ⋮ Unnamed Item ⋮ A Short Note on the Quasilinearization Method for Fractional Differential Equations ⋮ Monotone iterative technique via initial time different coupled lower and upper solutions for fractional differential equations ⋮ Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative

Cites Work

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• Variational Lyapunov method for fractional differential equations
• Existence results for solutions of nonlinear fractional differential equations
• Some generalizations of comparison results for fractional differential equations
• Quasilinearization method and WKB
• Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization
• Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations
• A quasilinearization method for elliptic problems with a nonlinear boundary condition
• Generalized quasilinearization for fractional differential equations
• Fractional integral inequalities and applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A refinement of quasilinearization method for Caputo's sense fractional-order differential equations

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