New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-12-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.2478/cm-2019-0011 |
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doaj-70aa7b01e6624ceb81f524a60191f4572021-09-06T19:22:06ZengSciendoCommunications in Mathematics2336-12982019-12-0127211314110.2478/cm-2019-0011cm-2019-0011New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivativeArioua Yacine0Titraoui Maria1Laboratory for Pure and Applied Mathematics, University of M’sila, Bp 166 M’sila, 28000, Algeria, ariouayacine@ymail.comLaboratory for Pure and Applied Mathematics, University of M’sila, Bp 166 M’sila, 28000, AlgeriaIn this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.https://doi.org/10.2478/cm-2019-0011fractional differential equationsboundary value problemserdélyi-kober derivativefixed point theoremsexistenceuniqueness34a0834a3747h10 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Arioua Yacine Titraoui Maria |
| spellingShingle |
Arioua Yacine Titraoui Maria New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative Communications in Mathematics fractional differential equations boundary value problems erdélyi-kober derivative fixed point theorems existence uniqueness 34a08 34a37 47h10 |
| author_facet |
Arioua Yacine Titraoui Maria |
| author_sort |
Arioua Yacine |
| title |
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative |
| title_short |
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative |
| title_full |
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative |
| title_fullStr |
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative |
| title_full_unstemmed |
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative |
| title_sort |
new class of boundary value problem for nonlinear fractional differential equations involving erdélyi-kober derivative |
| publisher |
Sciendo |
| series |
Communications in Mathematics |
| issn |
2336-1298 |
| publishDate |
2019-12-01 |
| description |
In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results. |
| topic |
fractional differential equations boundary value problems erdélyi-kober derivative fixed point theorems existence uniqueness 34a08 34a37 47h10 |
| url |
https://doi.org/10.2478/cm-2019-0011 |
| work_keys_str_mv |
AT ariouayacine newclassofboundaryvalueproblemfornonlinearfractionaldifferentialequationsinvolvingerdelyikoberderivative AT titraouimaria newclassofboundaryvalueproblemfornonlinearfractionaldifferentialequationsinvolvingerdelyikoberderivative |
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1717772688599023616 |