On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces

DOI10.7153/FDC-2019-09-04zbMath1438.34027OpenAlexW2961629315MaRDI QIDQ5229308

No author found.

Publication date: 14 August 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2019-09-04

zbMATH Keywords

weak solutionfractional-orderweighted Cauchy-type problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Weak solutions of ordinary differential equations in Banach spaces
• On the nonlinear hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
• Power-type estimates for a nonlinear fractional differential equation
• An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order
• Weighted Cauchy-type problem of a functional differ-integral equation
• Geometry and the Pettis Integral
• Pettis Integration
• Integral equations in reflexive Banach spaces and weak topologies
• A note on the fractional calculus in Banach spaces

This page was built for publication: On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces