Employing of some basic theory for class of fractional differential equations

DOI10.1155/2011/296353zbMath1210.34003OpenAlexW2040161454WikidataQ59253415 ScholiaQ59253415MaRDI QIDQ623603

Azizollah Babakhani, Dumitru Baleanu

Publication date: 8 February 2011

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

Full work available at URL: https://eudml.org/doc/233162

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)

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Cites Work

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• A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
• Basic theory of fractional differential equations
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Newtonian law with memory
• On the global existence of solutions to a class of fractional differential equations
• Positive solutions for system of nonlinear fractional differential equations in two dimensions with delay
• New applications of fractional variational principles
• Existence of positive solutions for multiterm fractional differential equations of finite delay with polynomial coefficients
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analysis of a system of fractional differential equations
• Some results for fractional boundary value problem of differential inclusions
• Some new existence results for fractional differential inclusions with boundary conditions
• Existence results for fractional order functional differential equations with infinite delay
• Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces