A Gronwall inequality for a general Caputo fractional operator

From MaRDI portal
Publication:4599066

DOI10.7153/mia-2017-20-70zbMath1386.26004arXiv1705.10079OpenAlexW2963423357MaRDI QIDQ4599066

Ricardo Almeida

Publication date: 15 December 2017

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10079




Related Items

New generalizations for Gronwall type inequalities involving a \(\psi\)-fractional operator and their applicationsHilfer fractional differential inclusions with Erdélyi-Kober fractional integral boundary conditionOn solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz-Caputo operatorA qualitative study on generalized Caputo fractional integro-differential equationsA variety of Gronwall Inequalities of Fractional Variable OrderA linearized L1-Galerkin FEM for non-smooth solutions of Kirchhoff type quasilinear time-fractional integro-differential equationInvestigation of fractional order inclusion problem with Mittag-Leffler type derivativeExistence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivativeUnnamed ItemExistence and uniqueness of global solution for a Cauchy problem and \(g\)-variational calculusStudy on Hilfer-Katugampola fractional implicit differential equations with nonlocal conditionsGeneralized substantial fractional operators and well-posedness of Cauchy problemGrüss-type inequalities by means of generalized fractional integralsAbstract Cauchy problems for the generalized fractional calculusNon-instantaneous impulses interval-valued fractional differential equations with Caputo-Katugampola fractional derivative conceptImpulsive coupled system of fractional differential equations with Caputo-Katugampola fuzzy fractional derivativeDIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVEA Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operatorConvergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay




This page was built for publication: A Gronwall inequality for a general Caputo fractional operator