Abstract
In this paper, we study some properties of Fredholm-type fractional integro-differential equations. For obtaining the results, \(\psi\)-Hilfer fractional derivative and \(\psi\) Riemann–Liouville integral operator are used. The existence and uniqueness of solution are studied using fixed point theorem and \(\psi\)-fractional Bielecki-type norm, and the properties such as estimates and continuous dependence of solution are studied using \(\psi\)-fractional Gronwall type of inequalities.
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Communicated by Carlos Lizama.
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Pachpatte, D.B. Properties of some \(\psi\)-Hilfer fractional Fredholm-type integro-differential equations. Adv. Oper. Theory 6, 7 (2021). https://doi.org/10.1007/s43036-020-00114-1
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DOI: https://doi.org/10.1007/s43036-020-00114-1