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Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative
Joint Authors
Tatar, Nasser-Eddine
Qassim, M. D.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Motivated by the Hilfer fractional derivative (which interpolates the Riemann-Liouville derivative and the Caputo derivative), we consider a new type of fractional derivative (which interpolates the Hadamard derivative and its Caputo counterpart).
We prove the well-posedness for a basic Cauchy type fractional differential equation involving this kind of derivative.
This is established in an appropriate underlying space after proving the equivalence of this problem with a certain corresponding Volterra integral equation.
American Psychological Association (APA)
Qassim, M. D.& Tatar, Nasser-Eddine. 2013. Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-484441
Modern Language Association (MLA)
Qassim, M. D.& Tatar, Nasser-Eddine. Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-484441
American Medical Association (AMA)
Qassim, M. D.& Tatar, Nasser-Eddine. Well-Posedness and Stability for a Differential Problem with Hilfer-Hadamard Fractional Derivative. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-484441
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484441