A unified presentation of certain families of non-fuchsian differential equations via fractional calculus operators

DOI10.1016/S0898-1221(03)90007-1zbMath1058.34121OpenAlexW2045234526MaRDI QIDQ1827225

Shih-Tong Tu, Shy-Der Lin, Hari M. Srivastava

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90007-1

zbMATH Keywords

Bessel equationequationsTricomi equationAnalytic functionsFractional calculusDifferintegral equationsGeneralized Leibniz ruleIndex lawLinearity propertyFuchsian (and non-Fuchsian) differential equationsFukuhara equationOrdinary and partial differentialWhittaker (and modified Whittaker) equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (5)

A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. ⋮ A survey of fractional-calculus approaches to the solutions of the Bessel differential equation of general order ⋮ Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems ⋮ Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications ⋮ On discrete fractional solutions of non-Fuchsian differential equations

Cites Work

• Certain classes of ordinary and partial differential equations solvable by means of fractional calculus.
• Some families of ordinary and partial fractional differintegral equations
• An application of the \(N\)-fractional calculus operator method to a modified Whittaker equation
• Solutions of a certain class of fractional differintegral equations
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