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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