Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps

DOI10.12775/tmna.2022.043MaRDI QIDQ6187517

Publication date: 15 January 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-61/issue-2/Existence-theory-for-nabla-fractional-three-point-boundary-value-problems/10.12775/TMNA.2022.043.full

zbMATH Keywords

existence uniqueness fixed point Green's function boundary value problem continuation method for contractive maps nabla fractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Boundary value problems for difference equations (39A27)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Continuation methods in certain metric and geodesic spaces
On Riemann and Caputo fractional differences
On the definitions of nabla fractional operators
Multiple positive solutions for discrete nonlocal boundary value problems
A continuation method for weakly Kannan maps
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Fixed point theory for generalized contractions on spaces with two metrics
Fixed point theory and generalized Leray-Schauder alternatives for approximable maps in topological vector spaces
Fixed point theorems for nonlinear operators
Discrete continuation method for boundary value problems on bounded sets in Banach spaces
On a nabla fractional boundary value problem with general boundary conditions
Global existence theory for fractional differential equations: new advances via continuation methods for contractive maps
On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings
Compression-expansion fixed point theorem in two norms and applications
Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs
On a discrete fractional three-point boundary value problem
Positive solutions for systems of nonlinear discrete boundary value problems
POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
Discrete Fractional Calculus
Discrete fractional calculus with the nabla operator
Existence theorems for nonlinear problems by continuation methods
Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations
Lyapunov inequalities for nabla Caputo boundary value problems

This page was built for publication: Existence theory for nabla fractional three-point boundary value problems via continuation methods for contractive maps