Research Article

Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems

Volume: 5 Number: 2 June 1, 2022
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. [1] K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Differential Equations, John Wiley, New York, 1993.
  2. [2] S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, 1993.
  3. [3] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
  4. [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. [5] V. Lakshmikantham, S. Leela, J.V. Devi, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009.
  6. [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. [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. [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

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

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