Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus
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Publication:4626406
DOI10.7153/fdc-2018-08-02zbMath1424.34048OpenAlexW2883789113MaRDI QIDQ4626406
Publication date: 27 February 2019
Published in: Fractional Differential Calculus (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/fdc-2018-08-02
Mittag-Leffler functionfractional calculusfractional differential equationsGronwall inequalitypedagogyfractional integral inequality
Methodology of mathematics (00A35) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)
Related Items
Existence results, inequalities and a priori bounds to fractional boundary value problems ⋮ Existence results for Caputo fractional boundary value problems with unrestricted growth conditions ⋮ Unnamed Item ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Cites Work
- On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order
- Nonlinear differential equations and dynamical systems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Multi-order fractional differential equations and their numerical solution
- When do fractional differential equations have solutions that are bounded by the Mittag-Leffler function?
- An introduction to ordinary differential equations
- The stability of solutions of linear differential equations
- Solutions to fractional differential equations that extend
- Existence and exact controllability of fractional evolution inclusions with damping
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