New contributions to fixed point techniques with applications for solving fractional and differential equations

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractional ordinary differential equations (34A08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings
\({\psi F}\)-contractions: not necessarily nonexpansive Picard operators
Fixed points of a new type of contractive mappings in complete metric spaces
Lipschitz constants for iterates of mean Lipschitzian mappings
Fixed points of \(\alpha\)-type \(F\)-contractive mappings with an application to nonlinear fractional differential equation
A generalization of the Banach contraction principle
On fixed points of asymptotically regular mappings
Existence results for fractional order boundary value problem with nonlocal non-separated type multi-point integral boundary conditions
Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
An observation on \(F\)-weak contractions and discontinuity at the fixed point with an application
Fixed point theorems for generalized contractive mappings in metric spaces
Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
Fixed point theorems via generalized \(F\)-contractions with applications to functional equations occurring in dynamic programming
Weak \(F\)-contractions and some fixed point results
Some existence results on nonlinear fractional differential equations
Fixed points of rotative lipschitzian mappings
Fixed point theorems for various types of F-contractions in complete b-metric spaces
F-contractions of Hardy–Rogers-type and application to multistage decision
Fixed points and continuity of contractive maps
On Nonlinear Contractions
On Contractive Mappings

This page was built for publication: New contributions to fixed point techniques with applications for solving fractional and differential equations