Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics
From MaRDI portal
Publication:2230425
DOI10.1007/978-3-030-77169-0_5zbMath1475.74008OpenAlexW3196380221MaRDI QIDQ2230425
Xiao-Jun Yang, Hari M. Srivastava, Dumitru Baleanu
Publication date: 17 September 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-77169-0_5
Mittag-Leffler functionlocal fractional differential equationlocal fractional vector calculusRice fractal fracture mechanics
Fractional derivatives and integrals (26A33) Theories of fracture and damage (74A45) Fractals (28A80) Complex-variable methods applied to problems in solid mechanics (74S70) Applications of fractional calculus in solid mechanics (74S40)
Related Items (3)
GENERALIZATION OF YANG–HARDY–HILBERT’S INTEGRAL INEQUALITY ON THE FRACTAL SET ℝ+α ⋮ An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations ⋮ \((\psi, \phi)\)-Wardowski contraction pairs and some applications
Cites Work
- Notions of generalized \(s\)-convex functions on fractal sets
- Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow
- Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives
- Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables
- A tutorial review on fractal spacetime and fractional calculus
- Local fractional similarity solution for the diffusion equation defined on Cantor sets
- A Hilbert-type fractal integral inequality and its applications
- Electrostatics in fractal geometry: fractional calculus approach
- Generalized Pompeiu type inequalities for local fractional integrals and its applications
- On generalized some integral inequalities for local fractional integrals
- New inequalities for local fractional integrals
- Some improvements and generalizations of Steffensen's integral inequality
- Local fractional Laplace variational iteration method for solving diffusion and wave equations on Cantor sets within local fractional operators
- The Yang-Laplace transform for solving the IVPs with local fractional derivative
- Local fractional Sumudu transform with application to IVPs on Cantor sets
- Some further generalizations of Hölder's inequality and related results on fractal space
- A new computational approach for solving nonlinear local fractional PDEs
- Calculation of the tensile and flexural strength of disordered materials using fractional calculus
- Asymptotic methods for solitary solutions and compactons
- Hermite-Hadamard-type inequalities for generalized \(s\)-convex functions on real linear fractal set \(\mathbb {R}^{\alpha }\) (\(0<\alpha <1\))
- Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- Fractional Dynamics
- Generalized Ostrowski type inequalities for local fractional integrals
- Fractional calculus for nanoscale flow and heat transfer
- The RC Circuit Described by Local Fractional Differential Equations
- A new insight into complexity from the local fractional calculus view point: modelling growths of populations
- A Hilbert-type integral inequality on the fractal space
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Local fractional analytical methods for solving wave equations with local fractional derivative
- Fractional Fokker–Planck equation for fractal media
- A fractional calculus approach to the description of stress and strain localization in fractal media
- Static-kinematic duality and the principle of virtual work in the mechanics of fractal media
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics
