On the nonlinear hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
From MaRDI portal
Publication:2389820
DOI10.1016/j.mcm.2007.12.015zbMath1187.45006OpenAlexW1970662673MaRDI QIDQ2389820
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
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