Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative

DOI10.2478/S13540-013-0012-0zbMath1312.34014OpenAlexW2090201006MaRDI QIDQ2347301

Khaled M. Furati

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:e8a85b72-bdf6-4ec2-ad70-92abf8169010

zbMATH Keywords

Riemann-Liouville fractional derivativefractional differential equationgeneralized fractional calculusErdélyi-Kober fractional derivativesequential fractional derivatives

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Classical hypergeometric functions, ({}_2F_1) (33C05) Fractional ordinary differential equations (34A08)

Related Items (4)

Integral equations of fractional order in Lebesgue spaces ⋮ A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions ⋮ On a non-linear boundary-layer problem for the fractional Blasius-type equation ⋮ Existence results for BVP of a class of hilfer fractional differential equations

Uses Software

• mlrnd
• Fractional Order Chaotic Systems

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