On the nonlinear hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order

DOI10.1016/j.mcm.2007.12.015zbMath1187.45006OpenAlexW1970662673MaRDI QIDQ2389820

Hussein A. H. Salem

Publication date: 19 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.12.015

zbMATH Keywords

boundary value problemfractional calculuspettis integrals

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10)

Related Items

On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces, Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals, New existence results for higher-order nonlinear fractional differential equation with integral boundary conditions, Existence results for a functional boundary value problem of fractional differential equations, Green's function for Sturm-Liouville-type boundary value problems of fractional order impulsive differential equations and its application, Uniform boundedness principle for nonlinear operators on cones of functions, The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions, Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus, On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces, Hadamard-type fractional calculus in Banach spaces

Cites Work

• On bounded weak solutions of a nonlinear differential equation in Banach spaces
• Second order three boundary value problem in Banach spaces via Henstock and Henstock-Kurzweil-Pettis integral
• On the application of measure of noncompactness to existence theorems
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Multiple positive solutions of some boundary value problems
• Existence and uniqueness for a nonlinear fractional differential equation
• Weak solutions of ordinary differential equations in Banach spaces
• Solutions of differential equations in B-spaces
• An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space
• Pettis Integration
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
• Integral equations in reflexive Banach spaces and weak topologies
• On the existence of positive solutions of nonlinear second order differential equations
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Kneser's theorem for weak solutions of the Darboux problem in Banach spaces
• A note on the fractional calculus in Banach spaces
• On Integration in Vector Spaces
• Positive solutions for boundary value problem of nonlinear fractional differential 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