Existence and uniqueness of the mild solution of an abstract nonlocal semilinear fractional integrodifferential equation
DOI10.1142/S1793557123500766MaRDI QIDQ6650337
Mohamed A. E. Herzallah, Ashraf H. A. Radwan
Publication date: 9 December 2024
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
fixed points\(C_0\)-semigroupCaputo derivativecontinuous dependencelocal \(\epsilon\)-approximate solution
Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05) Functional analysis techniques applied to functions of several complex variables (32A70) Fractional ordinary differential equations (34A08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A class of fractional evolution equations and optimal controls
- A generalized Gronwall inequality and its application to a fractional differential equation
- Existence of mild solutions for fractional neutral evolution equations
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- On state dependent non-local conditions
- On abstract differential equations with state dependent non-local conditions
- On fractional order hybrid differential equations
- Controllability of measure driven evolution systems with nonlocal conditions
- Continuation and maximal regularity of fractional-order evolution equation
- Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
- Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions
- Mild solution to hybrid fractional differential equations with state-dependent nonlocal conditions
- Theory of nonlinear implicit fractional differential equations
- On the nonlocal Cauchy problem for semilinear fractional order evolution equations
- Implicit fractional differential equations via the Liouville-Caputo derivative
- Fractional thermoelasticity
- Basic theory of fractional differential equations
- Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
- Fixed point theorems and their applications
- Alternative results and robustness for fractional evolution equations with periodic boundary conditions
- Existence and Uniqueness of the Mild Solution of an Abstract Semilinear Fractional Differential Equation with State Dependent Nonlocal Condition
This page was built for publication: Existence and uniqueness of the mild solution of an abstract nonlocal semilinear fractional integrodifferential equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650337)