Solutions of fractional multi-order integral and differential equations using a Poisson-type transform

DOI10.1016/S0022-247X(02)00012-4zbMath1026.45009MaRDI QIDQ1604599

Ismail Taqi Ali, Shyam L. Kalla, Virginia S. Kiryakova

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fractional integral operatorgeneralized fractional calculusfractional order integral and differential equationsseries of integrals involving \(H\)-functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) General theory of functional-differential equations (34K05) Volterra integral equations (45D05)

Related Items

Numerical algorithms for Caputo fractional-order differential equations, On the existence and uniqueness of solutions of a class of fractional differential equations, Initial boundary value problems for a fractional differential equation with hyper-Bessel operator, On linear fractional differential equations with variable coefficients, Fractional relaxation with time-varying coefficient, The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus, The special functions of fractional calculus as generalized fractional calculus operators of some basic functions, Analysis of solutions of some multi-term fractional Bessel equations, On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function, Use of fractional calculus to evaluate some improper integrals of special functions, From the hyper-Bessel operators of Dimovski to the generalized fractional calculus, Multi-parametric Mittag-Leffler functions and their extension, On the asymptotic stability of linear system of fractional-order difference equations

Cites Work

• Transmutations d'opérateurs différentiels dans le domaine complexe
• Abel integral equations. Analysis and applications
• Transmutation method for the solving Erdélyi-Kober fractional differintegral equations
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• The Solution of Certain Integral Equations by Means of Operators of Arbitary Order
• Isomorphism of the quotient fields, generated by Bessel‐type differential operators
• All the special functions are fractional differintegrals of elementary functions
• Solution of a fractional differintegral equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item