Geodesic
Existence and stability results for partial implicit fractional differential equations with not instantaneous impulses
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2.

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In this paper, we investigate some existence, uniqueness and stability results for a class of partial differential equations with not instantaneous impulses in Banach spaces. We give an Ulam type stability result and present an illustrative example.
Publié le :
DOI : 10.30755/NSJOM.06071
Classification : 26A33, 34A37, 34D10
Keywords: Fractional differential equation, left-sided mixed Riemann-Liouville integral, mixed regularized derivative of fractional order, fixed point, implicit, not instantaneous impulses, Ulam-Hyers-Rassias stability 
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     author = {Sa{\"\i}d Abbas and Wafaa Albarakati and Mouffak Benchohra and Juan J. Nieto},
     title = {Existence and stability results for partial implicit fractional differential
equations with not instantaneous impulses},
     journal = {Novi Sad Journal of Mathematics},
     pages = {157 - 171},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2017},
     doi = {10.30755/NSJOM.06071},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.06071/}
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Saïd Abbas; Wafaa Albarakati; Mouffak Benchohra; Juan J. Nieto. Existence and stability results for partial implicit fractional differential
equations with not instantaneous impulses. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2. doi : 10.30755/NSJOM.06071. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.06071/

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