Nonlocal semi-linear fractional-order boundary value problems with strip conditions
- Autores: Ahmad B.1, Alsaedi A.1, Alsharif A.1
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Afiliações:
- King Abdulaziz University
- Edição: Volume 52, Nº 4 (2017)
- Páginas: 175-183
- Seção: Differential Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/228057
- DOI: https://doi.org/10.3103/S1068362317040033
- ID: 228057
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Resumo
This paper is concerned with the question of existence of solutions for one-dimensional higher-order semi-linear fractional differential equations supplemented with nonlocal strip type boundary conditions. The nonlocal strip condition addresses a situation where the linear combination of the values of unknown function at two nonlocal points, located to the left and right hand sides of the strip, respectively, is proportional to its strip value. The case of Stieltjes type strip condition is also discussed. Our results, relying on some standard fixed point theorems are supported with illustrative examples.
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Sobre autores
B. Ahmad
King Abdulaziz University
Autor responsável pela correspondência
Email: bashirahmad_qau@yahoo.com
Arábia Saudita, Jeddah
A. Alsaedi
King Abdulaziz University
Email: bashirahmad_qau@yahoo.com
Arábia Saudita, Jeddah
A. Alsharif
King Abdulaziz University
Email: bashirahmad_qau@yahoo.com
Arábia Saudita, Jeddah