Comprehensive Approach of an Implicit Hybrid Urysohn–Stieltjes Integral Inclusions via Fractal Differential Constraint

This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU‐S) integral inclusion. Some sufficient conditions are assumed to prove qualitative features for the solution for this class of inclusions. A comprehensive discussion and analysis, including an...

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Published in:	Journal of mathematics (Hidawi) Vol. 2024; no. 1
Main Authors:	El-Sayed, A. M. A., Hashem, H. H. G., Al-Issa, Sh. M., Assi, Z. M.
Format:	Journal Article
Language:	English
Published:	Cairo Hindawi Limited 01-01-2024
Subjects:	Fractals Inclusions Integral equations Qualitative analysis Stieltjes integral
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Abstract	This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU‐S) integral inclusion. Some sufficient conditions are assumed to prove qualitative features for the solution for this class of inclusions. A comprehensive discussion and analysis, including an example and an application, is presented to illustrate our results.
AbstractList	This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU-S) integral inclusion. Some sufficient conditions are assumed to prove qualitative features for the solution for this class of inclusions. A comprehensive discussion and analysis, including an example and an application, is presented to illustrate our results.
Author	Hashem, H. H. G. El-Sayed, A. M. A. Al-Issa, Sh. M. Assi, Z. M.
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Cites_doi	10.1186/s13662-021-03298-9 10.1016/s0377-0427(99)00242-3 10.1016/j.nonrwa.2005.01.006 10.1515/ijnsns.2010.11.1.3 10.1007/978-3-662-00547-7 10.2307/1993922 10.1016/j.camwa.2009.08.020 10.3390/math11214475 10.1016/j.chaos.2018.03.002 10.2298/tsci11s1145h 10.1515/fca-2019-0079 10.1016/j.camwa.2011.03.041 10.1017/s0004972700016774 10.3390/axioms12070653 10.1016/j.jmaa.2010.09.004 10.1142/2223 10.3390/fractalfract7100759 10.1017/CBO9780511526152
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Copyright	Copyright © 2024 A. M. A. El-Sayed et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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References	e_1_2_8_23_2 e_1_2_8_24_2 e_1_2_8_25_2 e_1_2_8_9_2 e_1_2_8_2_2 e_1_2_8_1_2 e_1_2_8_4_2 e_1_2_8_6_2 e_1_2_8_8_2 e_1_2_8_7_2 e_1_2_8_20_2 Nasertayoob P. (e_1_2_8_5_2) 2018; 5 e_1_2_8_21_2 e_1_2_8_22_2 Nasertayoob P. (e_1_2_8_3_2) 2013; 6 e_1_2_8_17_2 e_1_2_8_13_2 e_1_2_8_15_2 Dugundji J. (e_1_2_8_16_2) 1982 Kolmogorov A. N. (e_1_2_8_12_2) 1975 Aubin J. P. (e_1_2_8_14_2) 2012 Caballero J. (e_1_2_8_19_2) 2006; 2006 Chandrasekhar S. (e_1_2_8_18_2) 1960 e_1_2_8_10_2 e_1_2_8_11_2
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Snippet	This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU‐S) integral inclusion. Some sufficient conditions... This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU-S) integral inclusion. Some sufficient conditions...
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Title	Comprehensive Approach of an Implicit Hybrid Urysohn–Stieltjes Integral Inclusions via Fractal Differential Constraint
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