Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions
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Authors
Ahmed Alsaedi
- Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Bashir Ahmad
- Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Mohammed Aqlan
- Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.
Abstract
In this paper, we present a novel idea of unification of anti-periodic and multi-point boundary conditions and develop the
existence theory for sequential fractional differential equations supplemented with these new conditions. We apply fixed point
theorems due to Banach, Krasnoselskii, Leray-Schauder alternative criterion, and Leray-Schauder degree theory to obtain the
desired results. Our results are well-illustrated with the aid of examples and correspond to some new special cases for particular
choices of parameters involved in the problem.
Share and Cite
ISRP Style
Ahmed Alsaedi, Bashir Ahmad, Mohammed Aqlan, Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 71--83
AMA Style
Alsaedi Ahmed, Ahmad Bashir, Aqlan Mohammed, Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions. J. Nonlinear Sci. Appl. (2017); 10(1):71--83
Chicago/Turabian Style
Alsaedi, Ahmed, Ahmad, Bashir, Aqlan, Mohammed. "Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 71--83
Keywords
- Sequential fractional differential equations
- nonlocal
- anti-periodic
- multi-point
- existence
- fixed point.
MSC
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