Solvability of a fractional Cauchy problem based on modified fixed point results of non-compactness measures
From MaRDI portal
Publication:2127794
DOI10.3934/math.2019.3.847zbMath1484.34037OpenAlexW2963180902WikidataQ127489641 ScholiaQ127489641MaRDI QIDQ2127794
Rabha W. Ibrahim, Hemant Kumar Nashine
Publication date: 21 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2019.3.847
entropy solutionfractional calculusfixed point theoremmeasure of non-compactnessfractional differential equationfractional differential operator
Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08) Classical operational calculus (44A45)
Related Items
The analytical analysis of nonlinear fractional-order dynamical models ⋮ Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The existence of fixed points via the measure of noncompactness and its application to functional-integral equations
- Existence of entropy solutions for nonsymmetric fractional systems
- Existence of Ulam stability for iterative fractional differential equations based on fractional entropy
- Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
- Existence of solutions for a class of nonlinear Volterra singular integral equations
- On the application of measure of noncompactness to the existence of solutions for fractional differential equations
- Existence of the mild solution for fractional semilinear initial value problems
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Semigroups and some nonlinear fractional differential equations.
- Fractional-order diffusion-wave equation
- Infinite system of differential equations in some \(BK\) spaces
- Some generalizations of Darbo fixed point theorem and applications
- A generalization of Darbo's theorem with application to the solvability of systems of integral equations
- SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS