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Darbo-Type Z(m) and L-m contractions and its applications to Caputo fractional integro-differential equations
Journal article   Open access  Peer reviewed

Darbo-Type Z(m) and L-m contractions and its applications to Caputo fractional integro-differential equations

Mian Bahadur Zada, Muhammad Sarwar, Reny George and Zoran D. Mitrovic
AIMS mathematics, Vol.6(6), pp.6340-6355
01/01/2021
DOI: https://doi.org/10.3934/math.2021372

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Darbo type Z(m)-contraction and Darbo type L-m-contraction are introduced and some fixed point results are established for such contraction mappings. As an application, we prove the existence of solution of a Caputo fractional Volterra-Fredholm integro-differential equation via integral type boundary conditions and verify the validity of our application by an appropriate example.
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https://doi.org/10.3934/math.2021372View
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