On an initial inverse problem for a diffusion equation with a conformable derivative
From MaRDI portal
Publication:2141986
DOI10.1186/s13662-019-2410-zzbMath1487.35395OpenAlexW2990728153MaRDI QIDQ2141986
Nguyen Hoang Luc, Donal O'Regan, Tran Thanh Binh, Nguyen Huu Can
Publication date: 25 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2410-z
Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)
Related Items (9)
A class of nonlocal impulsive differential equations with conformable fractional derivative ⋮ On a time fractional diffusion with nonlocal in time conditions ⋮ On a nonlocal problem for parabolic equation with time dependent coefficients ⋮ Fixed point problems for generalized contractions with applications ⋮ Nonlocal conformable-fractional differential equations with a measure of noncompactness in Banach spaces ⋮ Mild solutions of a class of conformable fractional differential equations with nonlocal conditions ⋮ Controllability of mild solution of nonlocal conformable fractional differential equations ⋮ Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition ⋮ Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New properties of conformable derivative
- Oscillation of impulsive conformable fractional differential equations
- On conformable fractional calculus
- Fractional Newton mechanics with conformable fractional derivative
- Three-point boundary value problems for conformable fractional differential equations
- Stochastic solutions of conformable fractional Cauchy problems
- Fractional Tikhonov regularization for linear discrete ill-posed problems
- A critical analysis of the conformable derivative
- Attractivity for fractional evolution equations with almost sectorial operators
- On defining the distributions \(\delta^{r}\) and \((\delta')^{r}\) by conformable derivatives
- Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation
- Basic theory of initial value problems of conformable fractional differential equations
- On a backward problem for nonlinear fractional diffusion equations
- Conformable derivative approach to anomalous diffusion
- On a backward problem for inhomogeneous time-fractional diffusion equations
- A new definition of fractional derivative
- Existence and Ulam's stability for conformable fractional differential equations with constant coefficients
- An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate
- Fractional Tikhonov regularization with a nonlinear penalty term
- Semilinear conformable fractional differential equations in Banach spaces
- Nonlocal telegraph equation in frame of the conformable time-fractional derivative
- A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
- New exact solutions of Burgers’ type equations with conformable derivative
- Convergence analysis for iterative learning control of conformable fractional differential equations
- Existence and regularity results of a backward problem for fractional diffusion equations
- Regularization by fractional filter methods and data smoothing
- An introduction to the mathematical theory of inverse problems
- Physical properties of the projectile motion using the conformable derivative
This page was built for publication: On an initial inverse problem for a diffusion equation with a conformable derivative