On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 5, Volume 16, Issue 1, June 2022, Pages 37-40 PDF (963.17 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2022.174394 | ||
| Author | ||
| Noora L. Housain* | ||
| Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| We prove that a positiveasolution to a given boundaryaproblem exists and is unique. This new boundaryacondition relates theanon-local unknown value of unknownafunction at λ with its influenceadue to aasup-strip (µ,1), 0<λ<µ<1 .Our resultsaare aobtainted by using " Banach andaKrasnoselskii’satheorems"a linked to anywhere. Some classicalatheorems of fixedapoints assistance to achieve the greatestaresults. | ||
| Keywords | ||
| "Fractional differential equations"; "Positive solution"; "Nonlocal boundary conditions"; "Fixed point theorems" | ||
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