On the Novel Ulam–Hyers Stability for a Class of Nonlinear $$\psi $$-Hilfer Fractional Differential Equation with Time-Varying Delays

Author:

Luo Danfeng,Shah Kamal,Luo Zhiguo

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference30 articles.

1. Kilbas, A., Srivastava, H., Trujillo, J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies 204, vol. 207. Elsevier, Amsterdam (2006)

2. Miller, K., Rose, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York (1993). (ISBN: 0-471-58884-9)

3. Goodrich, C., Peterson, A.: Discrete Fractional Calculus. Springer, Berlin (2016). (ISBN: 3319255606; 9783319255606)

4. Podlubny, I., Thimann, K.: Fractional Differential Equation: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Mathematics in Science and Engineering, vol. 198. Academic Press, New York (1999). (ISBN: 0125588402)

5. Chen, F., Liu, Z.: Asymptotic stability results for nonlinear fractional difference eqautions. J. Appl. Math. 2012, 155–172 (2012)

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