Hannabou, M., Bouaouid, M., Hilal, K. (2023). The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.. test, 14(2), 1-11. doi: 10.21608/jfca.2023.198315.1003
Mohamed Hannabou; Mohamed Bouaouid; Khalid Hilal. "The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.". test, 14, 2, 2023, 1-11. doi: 10.21608/jfca.2023.198315.1003
Hannabou, M., Bouaouid, M., Hilal, K. (2023). 'The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.', test, 14(2), pp. 1-11. doi: 10.21608/jfca.2023.198315.1003
Hannabou, M., Bouaouid, M., Hilal, K. The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.. test, 2023; 14(2): 1-11. doi: 10.21608/jfca.2023.198315.1003

The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.

Journal of Fractional Calculus and Applications
Volume 14, Issue 2, July 2023, Pages 1-11    PDF (296.17 K)
Document Type: Regular research papers
DOI: 10.21608/jfca.2023.198315.1003
Authors
Mohamed Hannabou* 1; Mohamed Bouaouid2; Khalid Hilal2
1Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Beni Mellal, Morocco.
2Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Beni Mellal, Morocco.
Abstract
In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem . Lastly, an example is provided to illustrate the results.
In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem .
Lastly, an example is provided to illustrate the results.
In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem .
Lastly, an example is provided to illustrate the results.
Keywords
non-instantaneous impulses; measure of non compactness; probability density functions; existence results; Mönch - fixed point theorem
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