On the mixed fractional quantum and Hadamard derivatives for impulsive boundary value problems
From MaRDI portal
Publication:2135008
DOI10.1515/math-2021-0119zbMath1497.34049OpenAlexW4210894392MaRDI QIDQ2135008
Somboon Niyoom, Jessada Tariboon, Sotiris K. Ntouyas, Chayapat Sudprasert
Publication date: 4 May 2022
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2021-0119
Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mild solution of fractional order differential equations with not instantaneous impulses
- New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
- Caputo-type modification of the Hadamard fractional derivatives
- Impulsive fractional boundary-value problems with fractional integral jump conditions
- Impulsive fractional \(q\)-integro-difference equations with separated boundary conditions
- Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses
- On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Quantum calculus on finite intervals and applications to impulsive difference equations
- Impulsive multiorders Riemann-Liouville fractional differential equations
- Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses
- Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions
- Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
- On a new class of abstract impulsive differential equations
- Basic Theory of Fractional Differential Equations