Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space
From MaRDI portal
Publication:6145300
DOI10.3934/nhm.2023045OpenAlexW4360917647MaRDI QIDQ6145300
No author found.
Publication date: 2 February 2024
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2023045
\(C_0\)-semigroupintegro-differential equationanalytic semigrouptime fractional wave equationtime fractional derivativeheterogeneous parameterhomogeneous limit problem
Initial value problems for linear higher-order PDEs (35G10) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the interior approximate controllability for fractional wave equations
- Existence of \( S\)-asymptotically \(\omega\)-periodic solutions to abstract integro-differential equations
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces
- Fractional resolvents and fractional evolution equations
- Existence results for neutral integro-differential equations with unbounded delay
- Differential equations in Banach spaces. II: Theory of cosine operator functions
- Approximation of solutions to non-linear integrodifferential parabolic equations in \(L^p\)-spaces
- Abstract fractional Cauchy problems with almost sectorial operators
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- Existence of solutions of the abstract Cauchy problem of fractional order
- Regularity of mild solutions for fractional abstract Cauchy problem with order \({\alpha \in (1, 2)}\)
- Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation
- Analytic resolvent operators for integral equations in Banach space
- Fractals and fractional calculus in continuum mechanics
- \(C\)-cosine functions and the abstract Cauchy problem. I
- \(C\)-cosine functions and the abstract Cauchy problem. II
- On spectral inclusions and approximations of \(\alpha\)-times resolvent families
- Existence of the classical and strong solutions for fractional semilinear initial value problems
- Chaotic characterization of one dimensional stochastic fractional heat equation
- Mittag-Leffler stability for a fractional Euler-Bernoulli problem
- A nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-up
- Hölder continuous solutions for fractional differential equations and maximal regularity
- Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
- General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1\) in Banach spaces]
- Finite time blow up for critical wave equations in high dimensions
- Approximation of solutions to linear integro-differential parabolic equations in \(L^{p}\)-spaces
- Well-posedness results for a class of semi-linear super-diffusive equations
- Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation
- The critical exponent(s) for the semilinear fractional diffusive equation
- Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
- Fractional diffusion and wave equations
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- Biow-up of solutions of some nonlinear hyperbolic equations
- Evolutionary Integral Equations and Applications
- Mittag‐Leffler stability for a fractional viscoelastic telegraph problem
- BIFURCATION BEHAVIORS OF A FRACTIONAL-ORDER PREDATOR–PREY NETWORK WITH TWO DELAYS
- MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES
- Approximation of solutions to fractional stochastic integro-differential equations of order α ∈ (1,2]
- Fractional resolvent operator with α ∈ (0,1) and applications
- Decay estimates of nonlocal diffusion equations in some particle systems
- Singular limit of differential systems with memory
- Continuation and maximal regularity of an arbitrary (fractional) order evolutionary integro-differential equation
- Analytic semigroups and optimal regularity in parabolic problems
- Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses
- Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations
- Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity
- Stability analysis for fractional order implicit ψ‐Hilfer differential equations
