On a nonlocal implicit problem under Atangana-Baleanu-Caputo fractional derivative
DOI10.1186/s13661-021-01579-6zbMath1496.34009OpenAlexW4200076685MaRDI QIDQ2126858
Publication date: 19 April 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-021-01579-6
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- On the existence of solutions of two differential equations with a nonlocal condition
- Forced oscillation of nonlinear fractional differential equations with damping term
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
- New approach to a generalized fractional integral
- On Caputo modification of the Hadamard fractional derivatives
- Impulsive fractional differential equations with variable times
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
- On fractional derivatives with generalized Mittag-Leffler kernels
- On fractional derivatives with exponential kernel and their discrete versions
- A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells
- Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation
- A Caputo fractional derivative of a function with respect to another function
- Existence theory and numerical analysis of three species prey-predator model under Mittag-Leffler power law
- On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative
- On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative
- A new fractional operator of variable order: application in the description of anomalous diffusion
- Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative
- Theory of nonlinear implicit fractional differential equations
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- On the \(\psi\)-Hilfer fractional derivative
- Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
- Terminal value problem for differential equations with Hilfer-Katugampola fractional derivative
- Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces
- Existence results for fractional order functional differential equations with infinite delay
- On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions
- Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
- Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- On nonlinear coupled evolution system with nonlocal subsidiary conditions under fractal‐fractional order derivative
- EXISTENCE RESULTS AND STABILITY CRITERIA FOR ABC-FUZZY-VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
- Fractional integrodifferential equations with nonlocal conditions and generalized Hilfer fractional derivative
- Weighted Fractional Neutral Functional Differential Equations
This page was built for publication: On a nonlocal implicit problem under Atangana-Baleanu-Caputo fractional derivative