Approximating solutions of nonlinear hybrid Caputo fractional integro-differential equations via Dhage iteration principle
Ural mathematical journal, Tome 5 (2019) no. 1, pp. 3-12
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In this article, we prove the existence and approximation of solutions of the initial value problems of nonlinear hybrid Caputo fractional integro-differential equations. The main tool employed here is the Dhage iteration principle in a partially ordered normed linear space. An example is also given to illustrate the main results.
Keywords:
approximating solutions, initial value problems, Dhage iteration principle, hybrid fixed point theorem.
@article{UMJ_2019_5_1_a0,
author = {Abdelouaheb Ardjouni and Ahcene Djoudi},
title = {Approximating solutions of nonlinear hybrid {Caputo} fractional integro-differential equations via {Dhage} iteration principle},
journal = {Ural mathematical journal},
pages = {3--12},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a0/}
}
TY - JOUR AU - Abdelouaheb Ardjouni AU - Ahcene Djoudi TI - Approximating solutions of nonlinear hybrid Caputo fractional integro-differential equations via Dhage iteration principle JO - Ural mathematical journal PY - 2019 SP - 3 EP - 12 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a0/ LA - en ID - UMJ_2019_5_1_a0 ER -
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Abdelouaheb Ardjouni; Ahcene Djoudi. Approximating solutions of nonlinear hybrid Caputo fractional integro-differential equations via Dhage iteration principle. Ural mathematical journal, Tome 5 (2019) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a0/