EN
Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems
Abstract
The aim of this work is to analyze the existence of positive solutions for a coupled system of Hadamard type fractional boundary value problems. By using the five functional fixed point theorem, the conditions for the existence of positive solutions are derived. Finally, to show the applicability of the main result, an illustrative example is also involved.
Keywords
References
- [1] K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Differential Equations, John Wiley, New York, 1993.
- [2] S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, 1993.
- [3] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
- [4] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, In: North-Holland Mathematics Studies, vol. 204, Elsevier Science B.V, Amsterdam, 2006.
- [5] V. Lakshmikantham, S. Leela, J.V. Devi, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009.
- [6] J. R. Graef, L. Kong, Q. Kong, M. Wang, Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary condition, Fract. Calc. Appl. Anal., 15(3) (2012), 509-528.
- [7] A. Cabada, G. Wang, Positive solutions of nonlinear fractional differential equations with integral boundary value conditions, J. Math. Anal. Appl., 389 (2012), 403-411.
- [8] J. Tariboon, S. Ntouyas, W. Sudsutad, Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions, J. Nonlinear Sci. Appl., 9 (2016), 295-308.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
June 1, 2022
Submission Date
December 11, 2021
Acceptance Date
March 19, 2022
Published in Issue
Year 2022 Volume: 5 Number: 2
APA
Şenlik Çerdik, T. (2022). Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundamental Journal of Mathematics and Applications, 5(2), 114-126. https://doi.org/10.33401/fujma.1035387
AMA
1.Şenlik Çerdik T. Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundam. J. Math. Appl. 2022;5(2):114-126. doi:10.33401/fujma.1035387
Chicago
Şenlik Çerdik, Tuğba. 2022. “Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems”. Fundamental Journal of Mathematics and Applications 5 (2): 114-26. https://doi.org/10.33401/fujma.1035387.
EndNote
Şenlik Çerdik T (June 1, 2022) Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundamental Journal of Mathematics and Applications 5 2 114–126.
IEEE
[1]T. Şenlik Çerdik, “Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems”, Fundam. J. Math. Appl., vol. 5, no. 2, pp. 114–126, June 2022, doi: 10.33401/fujma.1035387.
ISNAD
Şenlik Çerdik, Tuğba. “Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems”. Fundamental Journal of Mathematics and Applications 5/2 (June 1, 2022): 114-126. https://doi.org/10.33401/fujma.1035387.
JAMA
1.Şenlik Çerdik T. Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundam. J. Math. Appl. 2022;5:114–126.
MLA
Şenlik Çerdik, Tuğba. “Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 2, June 2022, pp. 114-26, doi:10.33401/fujma.1035387.
Vancouver
1.Tuğba Şenlik Çerdik. Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundam. J. Math. Appl. 2022 Jun. 1;5(2):114-26. doi:10.33401/fujma.1035387
