Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem

DOI10.1155/2012/842813zbMath1267.34011OpenAlexW2164165543WikidataQ58702854 ScholiaQ58702854MaRDI QIDQ1953682

J. Diego Ramírez, Aghalaya S. Vatsala

Publication date: 10 June 2013

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/842813

zbMATH Keywords

coupled lower and upper solutionslinear initial value problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional ordinary differential equations (34A08)

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Cites Work

• Basic theory of fractional differential equations
• General uniqueness and monotone iterative technique for fractional differential equations
• Fractional integral inequalities and applications
• Monotone iterative technique and existence results for fractional differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations
• Generalized monotone iterative method for integro differential equations with periodic boundary conditions
• Monotone iterative technique for fractional differential equations with periodic boundary conditions
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