Sequential fractional differential equations with Hadamard derivative
type: Item
instance of: scholarly article
title: Sequential fractional differential equations with Hadamard derivative
zbMATH Open document ID: 1242.34009
author: Małgorzata Klimek
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-12-28T00:00:00Z
review text: The existence and uniqueness of the solution to an initial value problem for a class of nonlinear sequential fractional differential equations is investigated by means of Banach's fixed point theorem. An example is presented to illustrate the main result.
reviewed by: Chuanzhi Bai
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 5992365
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Hadamard derivative
zbMATH Keywords: existence and uniqueness of solutions
zbMATH Keywords: Banach theorem
zbMATH Keywords: equivalent metrics
Wikidata QID: Q60309281
MaRDI profile type: Publication
full work available at URL: j.cnsns.2011.01.018
OpenAlex ID: W2035453333
cites work: Q3408155
cites work: Q4233638
cites work: Q3141902
cites work: Q5699297
cites work: Q4282622
cites work: Differential equations of fractional order:methods results and problem —I
cites work: Differential Equations of Fractional Order: Methods, Results and Problems. II
cites work: Q4280699
cites work: \(\alpha\)-analytic solutions of some linear fractional differential equations with variable coefficients
cites work: Linear fractional differential equations with variable coefficients
cites work: Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
cites work: Q4805623
cites work: Q3231397
cites work: On the global existence of solutions to a class of fractional differential equations
cites work: Modification of the application of a contraction mapping method on a class of fractional differential equation.
cites work: Q5451099
DOI: 10.1016/J.CNSNS.2011.01.018
description: scientific article; zbMATH DE number 5992365