EXISTENCE AND APPROXIMATE SOLUTIONS FOR HADAMARD FRACTIONAL INTEGRAL EQUATIONS IN A BANACH SPACE

Author:

Kazemi Manochehr,Chaudhary Harindri,Deep Amar

Publisher

Rocky Mountain Mathematics Consortium

Subject

Applied Mathematics,Numerical Analysis

Reference33 articles.

1. [1] S. Abbas, “Existence of solutions to fractional order ordinary and delay differential equations and applications”, Electron. J. Differential Equations (2011), art. id. 9.

2. [2] A. Atangana and N. Bildik, “Existence and numerical solution of the Volterra fractional integral equations of the second kind”, Math. Probl. Eng. (2013), art. id. 981526.

3. [3] J. Banaś and K. Goebel, Measures of noncompactness in Banach spaces, Lecture Notes in Pure and Applied Mathematics 60, Marcel Dekker, New York, 1980.

4. [4] J. Banaś and B. Rzepka, “Monotonic solutions of a quadratic integral equation of fractional order”, J. Math. Anal. Appl. 332:2 (2007), 1371–1379.

5. [5] P. L. Butzer, A. A. Kilbas, and J. J. Trujillo, “Fractional calculus in the Mellin setting and Hadamard-type fractional integrals”, J. Math. Anal. Appl. 269:1 (2002), 1–27.

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