On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions

Section: Research Paper
Issue
Vol. 16 No. 1 (2022): Volume 16 Issue 1
Pages
37-40

Keywords:

"Fractional differential equations", "Positive solution", "Nonlocal boundary conditions", "Fixed point theorems"

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 with its influenceadue to aasup-strip (,1), 0<<<1 .Our resultsaare aobtainted by using " Banach andaKrasnoselskiisatheorems"a linked to anywhere. Some classicalatheorems of fixedapoints assistance to achieve the greatestaresults.

References

Author

Noora L. Housain

Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2022.174394

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On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions. (2022). AL-Rafidain Journal of Computer Sciences and Mathematics, 16(1), 37-40. https://doi.org/10.33899/csmj.2022.174394
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How to Cite

On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions. (2022). AL-Rafidain Journal of Computer Sciences and Mathematics, 16(1), 37-40. https://doi.org/10.33899/csmj.2022.174394