Explicit solutions of a certain class of differential equations by means of fractional calculus

DOI10.1134/S1061920807030090zbMath1181.34004OpenAlexW2033811539MaRDI QIDQ1033718

Shy-Der Lin, Pin-Yu Wang, Yi-Ting Chao, Hari M. Srivastava

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920807030090

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

Existence results for solutions of nonlinear fractional differential equations ⋮ Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus ⋮ Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type ⋮ Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments

Cites Work

• Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
• Explicit solutions of a certain class of associated Legendre equations by means of fractional calculus
• Some fractional differintegral equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Semigroups and some nonlinear fractional differential equations.
• Some probability densities and fundamental solutions of fractional evolution equations
• The fundamental solutions for fractional evolution equations of parabolic type
• A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications.
• Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications
• Some families of ordinary and partial fractional differintegral equations
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