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Solutions of the Generalized Abel’s Integral Equations of the Second Kind with Variable Coefficients

Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada
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Axioms 2019, 8(4), 137; https://doi.org/10.3390/axioms8040137
Received: 16 November 2019 / Revised: 29 November 2019 / Accepted: 3 December 2019 / Published: 5 December 2019
Applying Babenko’s approach, we construct solutions for the generalized Abel’s integral equations of the second kind with variable coefficients on R and R n , and show their convergence and stability in the spaces of Lebesgue integrable functions, with several illustrative examples. View Full-Text
Keywords: Riemann–Liouville fractional integral; Mittag–Leffler function; Babenko’s approach; generalized Abel’s integral equation Riemann–Liouville fractional integral; Mittag–Leffler function; Babenko’s approach; generalized Abel’s integral equation
MDPI and ACS Style

Li, C.; Plowman, H. Solutions of the Generalized Abel’s Integral Equations of the Second Kind with Variable Coefficients. Axioms 2019, 8, 137.

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