Existence of solutions for nonlinear fractional order \(p\)-Laplacian differential equations via critical point theory

DOI10.1515/fca-2019-0051zbMath1481.34089OpenAlexW2982167101WikidataQ126991839 ScholiaQ126991839MaRDI QIDQ2175764

Nemat Nyamoradi, Stepan Agop Tersian

Publication date: 30 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0051

zbMATH Keywords

fractional differential equationsfractional derivatives and integralsfunctional-differential equations with fractional derivatives

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Research on Sturm-Liouville boundary value problems of fractional \(p\)-Laplacian equation ⋮ Fractional integration by parts and Sobolev‐type inequalities for ψ$$ \psi $$‐fractional operators ⋮ Variational methods to the \(p\)-Laplacian type nonlinear fractional order impulsive differential equations with Sturm-Liouville boundary-value problem ⋮ Some properties of solutions to multiterm fractional boundary value problems with \(p\)-Laplacian operator ⋮ Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Hybrid TDMA with heuristic traffic shaping: An efficient bandwidth allocation approach for heavy loaded LANs
• New linking theorems
• Critical point theory and Hamiltonian systems
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Impulsive fractional boundary value problem with \(p\)-Laplace operator
• On boundary value problems for impulsive fractional differential equations
• Long memory processes and fractional integration in econometrics
• Multiple solutions to boundary value problem for impulsive fractional differential equations
• Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
• Existence of solutions to boundary value problem for impulsive fractional differential equations
• Can intermittent long-range jumps of a random walker compensate for lethargy?
• Differential equations of fractional order:methods results and problem —I
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Fractional calculus in the transient analysis of viscoelastically damped structures
• Nonlinear functional differential equations of arbitrary orders
• Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory
• The Applications of Critical-Point Theory to Discontinuous Fractional-Order Differential Equations
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
• Basic Theory of Fractional Differential Equations
• Fractional Calculus
• Some noises withI/fspectrum, a bridge between direct current and white noise

This page was built for publication: Existence of solutions for nonlinear fractional order \(p\)-Laplacian differential equations via critical point theory