Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales

DOI10.1155/2022/7149356zbMath1492.46034arXiv2203.11277OpenAlexW4206926389MaRDI QIDQ2071901

Yanyan Li

Publication date: 31 January 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11277

zbMATH Keywords

time scalesfractional Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dynamic equations on time scales or measure chains (34N05)

Related Items (1)

Concentrating positive solutions for quasilinear Schrödinger equations involving steep potential Well

Cites Work

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• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• A non-autonomous Hamiltonian system on time scales
• Fractional Sobolev's spaces on time scales via conformable fractional calculus and their application to a fractional differential equation on time scales
• Variational approach to a class of second order Hamiltonian systems on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Sobolev's spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales
• Critical point theory and Hamiltonian systems
• An application of variational approach to delay Hamiltonian systems on time scales with impulses
• On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
• High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity
• An ergodic approach to Laplace transforms on time scales
• To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations
• The Taylor series method and trapezoidal rule on time scales
• Linking over cones for the Neumann fractional \(p\)-Laplacian
• Morse index versus radial symmetry for fractional Dirichlet problems
• A critical point approach for a second-order dynamic Sturm-Liouville boundary value problem with \(p\)-Laplacian
• Existence results for dynamic Sturm-Liouville boundary value problems via variational methods
• A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems
• Basic properties of Sobolev's spaces on time scales
• Small linear perturbations of fractional Choquard equations with critical exponent
• Fractional Partial Differential Equations and Their Numerical Solutions
• Nonlocal Modeling, Analysis, and Computation
• Positive solutions for fractional boundary value problems under a generalized fractional operator
• Conformable Dynamic Equations on Time Scales
• NEHARI MANIFOLD AND MULTIPLICITY RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN
• Criterions for absolute continuity on time scales
• Stochastic models for fractional calculus

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