Initial and boundary value problems for fractional differential equations involving Atangana-Baleanu derivative
Other Title(s)
معادلات تفاضلية كسرية ذات شروط ابتدائية و حدودية و التي تحتوي على مشتقة أتنجانا باليانو
Joint Authors
al-Muslihi, Fatimah S.
al-Salti, Nasir S.
Karimov, Erkinjon
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 23, Issue 2 (31 Dec. 2018), pp.137-146, 10 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2018-12-31
Country of Publication
Oman
No. of Pages
10
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
In the present work, an initial value problem involving the Atangana-Baleanu derivative is considered.
An explicit solution of the given problem in integral form is obtained by using the Laplace transform.
The use of the given initial value problem is illustrated by considering a boundary value problem in which the solution is expressed in the form of a series expansion using an orthogonal basis obtained by separation of variables.
Some examples are also given to illustrate the obtained results
American Psychological Association (APA)
al-Muslihi, Fatimah S.& al-Salti, Nasir S.& Karimov, Erkinjon. 2018. Initial and boundary value problems for fractional differential equations involving Atangana-Baleanu derivative. Sultan Qaboos University Journal for Science،Vol. 23, no. 2, pp.137-146.
https://search.emarefa.net/detail/BIM-853273
Modern Language Association (MLA)
al-Muslihi, Fatimah S.…[et al.]. Initial and boundary value problems for fractional differential equations involving Atangana-Baleanu derivative. Sultan Qaboos University Journal for Science Vol. 23, no. 2 (2018), pp.137-146.
https://search.emarefa.net/detail/BIM-853273
American Medical Association (AMA)
al-Muslihi, Fatimah S.& al-Salti, Nasir S.& Karimov, Erkinjon. Initial and boundary value problems for fractional differential equations involving Atangana-Baleanu derivative. Sultan Qaboos University Journal for Science. 2018. Vol. 23, no. 2, pp.137-146.
https://search.emarefa.net/detail/BIM-853273
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-853273