Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations

Author:

Srivastava H. M.,Shehata A.,Moustafa S. I.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference30 articles.

1. B. Ahmad, M. Alghanmi, A. Alsaedi, H. M. Srivastava, and S. K. Ntouyas, “The Langevin Equation in Terms of Generalized Liouville-Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral,” Mathematics, 7, 1–10 (2019).

2. B. Ahmad and A. Alsaedi, “Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations,” Fixed Point Theory Appl, 2010, 1–17 (2010).

3. A. Amini-Harandi and H. Emami, “A Fixed Point Theorem for Contraction Type Maps in Partially-Ordered Metric Spaces and Application to Ordinary Differential Equations,” Nonlinear Anal.: Theory Methods Appl., 72, 2238–2242 (2010).

4. A. H. Ansari, “Note on $$\varphi$$-$$\Psi$$-Contractive Type Mappings and Related Fixed Point,” Second Regional Conference on Mathematical Sciences and Applications, 377–380 (2014).

5. Z.-B. Bai and H.-S. Lü, “Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation,” J. Math. Anal. Appl., 311, 495–505 (2005).

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