Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals

DOI10.1515/IJNSNS-2018-0174OpenAlexW2981951245WikidataQ126990191 ScholiaQ126990191MaRDI QIDQ2180956

Yongxiang Li, Haide Gou

Publication date: 18 May 2020

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0174

zbMATH Keywords

weak solutionsboundary value problemHenstock-Kurzweil-Pettis integralweak measure of noncompactness

Mathematics Subject Classification ID

Real functions (26-XX) Ordinary differential equations (34-XX)

Related Items (1)

On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces
• On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces
• On an integral equation under Henstock-Kurzweil-Pettis integrability
• Existence of fixed points and measures of weak noncompactness
• Weak solutions for the dynamic Cauchy problem in Banach spaces
• On the fractional order \(m\)-point boundary value problem in reflexive Banach spaces and weak topologies
• On solutions of differential equations in Banach spaces
• Existence results for nonlinear integral equations
• Krasnosel'skii-type fixed point theorems with applications to Volterra integral equations
• Singular integral equations arising in draining and coating flows
• On the nonlinear hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
• Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals
• Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on m-dimensional compact intervals
• The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem
• Characterizations of Kurzweil–Henstock–Pettis integrable functions
• A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals