Existence of solutions for fractional impulsive differential equations with \(p\)-Laplacian operator

DOI10.1007/s10474-013-0305-0zbMath1313.34242OpenAlexW2133500599MaRDI QIDQ485532

Zhen-Hai Liu, Liang Lu, Ivan Szanto

Publication date: 9 January 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-013-0305-0

zbMATH Keywords

Schauder's fixed point theorem\(p\)-Laplacian operatorimpulsive differential equationCaputo fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Functional-differential equations with fractional derivatives (34K37)

Related Items (24)

Existence and multiplicity of solutions for impulsive fractional differential equations ⋮ A numerical method for solving fractional differential equations by using neural network ⋮ Fractional differential equation models with pulses and criterion for pest management ⋮ Multipoint BVPs for generalized impulsive fractional differential equations ⋮ Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with \(p\)-Laplacian ⋮ Existence of solutions of a new class of impulsive initial value problems of singular nonlinear fractional differential systems ⋮ Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives ⋮ Impulsive fractional boundary value problem with \(p\)-Laplace operator ⋮ Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects ⋮ A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions ⋮ A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications ⋮ Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator ⋮ \((k, \psi)\)-Hilfer impulsive variational problem ⋮ Multiplicity of nontrivial solutions for boundary value problem for impulsive fractional differential inclusions via nonsmooth critical point theory ⋮ On the \(\rho\)-Caputo impulsive \(p\)-Laplacian boundary problem: an existence analysis ⋮ Existence results in Banach space for a nonlinear impulsive system ⋮ Existence of solutions for nonlinear impulsive fractional differential equations with \(p\)-Laplacian operator ⋮ Existence and multiple positive solutions for boundary value problem of fractional differential equation with \(p\)-Laplacian operator ⋮ A new impulsive multi-orders fractional differential equation involving multipoint fractional integral boundary conditions ⋮ On boundary value problems for impulsive fractional differential equations ⋮ On the impulsive fractional anti-periodic BVP modelling with constant coefficients ⋮ Response to ``Comments on the concept of existence of solution for impulsive fractional differential equations ⋮ EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS ⋮ A mixed monotone operator method for the existence and uniqueness of positive solutions to impulsive Caputo fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• On the solvability of a fractional differential equation model involving the \(p\)-Laplacian operator
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• Positive solutions for boundary value problem of fractional differential equation with \(p\)-Laplacian operator
• Some results on difference polynomials sharing values
• Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations
• On the concept and existence of solution for impulsive fractional differential equations
• Nonlinear boundary value problems of fractional differential systems
• Nonlocal Cauchy problem for fractional evolution equations
• An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator
• A boundary value problem for fractional differential equation with \(p\)-Laplacian operator at resonance
• On the concept of solution for fractional differential equations with uncertainty
• Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Upper and lower solutions method for a class of singular fractional boundary value problems with \(p\)-Laplacian operator
• On nonlinear systems consisting of different types of differential equations
• On non-uniformly parabolic functional differential equations

This page was built for publication: Existence of solutions for fractional impulsive differential equations with \(p\)-Laplacian operator