El Allaoui, Abdelati, Melliani, Said, Chadli, Lalla Saadia, Wang, JinRong. (1401). A study on dependent impulsive integro-differential evolution equations of general type in Banach space. هنرهای کاربردی, 13(2), 815-827. doi: 10.22075/ijnaa.2020.20585.2177
Abdelati El Allaoui; Said Melliani; Lalla Saadia Chadli; JinRong Wang. "A study on dependent impulsive integro-differential evolution equations of general type in Banach space". هنرهای کاربردی, 13, 2, 1401, 815-827. doi: 10.22075/ijnaa.2020.20585.2177
El Allaoui, Abdelati, Melliani, Said, Chadli, Lalla Saadia, Wang, JinRong. (1401). 'A study on dependent impulsive integro-differential evolution equations of general type in Banach space', هنرهای کاربردی, 13(2), pp. 815-827. doi: 10.22075/ijnaa.2020.20585.2177
El Allaoui, Abdelati, Melliani, Said, Chadli, Lalla Saadia, Wang, JinRong. A study on dependent impulsive integro-differential evolution equations of general type in Banach space. هنرهای کاربردی, 1401; 13(2): 815-827. doi: 10.22075/ijnaa.2020.20585.2177

A study on dependent impulsive integro-differential evolution equations of general type in Banach space

International Journal of Nonlinear Analysis and Applications
مقاله 69، دوره 13، شماره 2، مهر 2022، صفحه 815-827    اصل مقاله (470.21 K)
نوع مقاله: Special issue editorial
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20585.2177
نویسندگان
Abdelati El Allaoui* 1؛ Said Melliani2؛ Lalla Saadia Chadli2؛ JinRong Wang3
1MISCOM, National School of Applied Sciences, Cadi Ayyad University, Safi, Morocco
2Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
3Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China
چکیده
This paper deals with the study of a coupled system of generalized impulsive integro-differential evolution equations with periodic boundary value. We show the existence and uniqueness of the solution for the proposed problem using Banach fixed point theorem. Another way was used to show the existence result with the aim of breaking out of the widely used Theorems style, we take advantage Monch's fixed point theorem using a non-compactness measure that we introduced. Some examples are given to our obtained results.
کلیدواژه‌ها
Boundary conditions؛ Evolution equations؛ Integro-differential equation؛ Existence؛ Impulses؛ Mesure of noncampactness
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