| ID | 66003 |
| FullText URL | |
| Author |
Akorede, Moses B.
Department of Mathematics, Faculty of Science, University of Ibadan
Arawomo, Peter O.
Department of Mathematics, Faculty of Science, University of Ibadan
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| Abstract | In this paper, we discuss the existence and uniqueness of positive solutions to a singular boundary value problem of fractional differential equations with three-point integral boundary conditions. The nonlinear term f possesses singularity and also depends on the first-order derivative u′. Our approach is based on Leray-Schauder fixed point theorem and Banach contraction principle. Examples are presented to confirm the application of the main results.
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| Keywords | Fractional derivative
positive solutions
singularity
three-point boundary value problem
cone
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| Note | Mathematics Subject Classification. Primary 26A33; Secondary 34B15; 34B18.
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| Published Date | 2024-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume66
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 85
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| End Page | 102
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol66/iss1/6
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