Nonlocal conformable fractional Cauchy problem with sectorial operator

Mohamed Bouaouid (), Khalid Hilal and Said Melliani
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Mohamed Bouaouid: Sultan Moulay Slimane University
Khalid Hilal: Sultan Moulay Slimane University
Said Melliani: Sultan Moulay Slimane University

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 999-1010

Abstract: Abstract After giving the Duhamel formula in terms of the standard semigroup, we prove the existence, uniqueness, stability and regularity of mild solution for a nonlocal fractional Cauchy problem with the conformable fractional derivative. Also, we give an example to illustrate the applicability of our results.

Keywords: Fractional differential equations; semigroups of linear operators; nonlocal condition; conformable fractional derivative; sectorial operator (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0369-9

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