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On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator
Joint Authors
Ali Özarslan, Mehmet
Aktuğlu, Hüseyin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider the model of a Caputo q-fractional boundary value problem involving p-Laplacian operator.
By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo q-fractional boundary value problem involving p-Laplacian operator has a unique solution for both cases of 0
2.
It is interesting that in both cases solvability conditions obtained here depend on q, p, and the order of the Caputo q-fractional differential equation.
Finally, we illustrate our results with some examples.
American Psychological Association (APA)
Aktuğlu, Hüseyin& Ali Özarslan, Mehmet. 2013. On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-488922
Modern Language Association (MLA)
Aktuğlu, Hüseyin& Ali Özarslan, Mehmet. On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-488922
American Medical Association (AMA)
Aktuğlu, Hüseyin& Ali Özarslan, Mehmet. On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian Operator. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-488922
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488922