On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces
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DOI: 10.1007/s11868-021-00394-y
Abstract: In this note we consider the nonlinear heat equation associated to the fractional Hermite operator $$H^\beta =(-\Delta +|x|^2)^\beta $$ H β = ( - Δ + | x | 2 ) β , $$0 read more here.
Keywords: hermite operator; fractional hermite; nonlinear heat; associated fractional ... See more keywords
Fractional Hermite–Hadamard inequalities for (s,m)$(s,m)$-convex or s-concave functions
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DOI: 10.1186/s13660-018-1829-1
Abstract: In this article, fractional integral is considered. Some new upper bounds of the distance between the middle and left of Hermite–Hadamard type inequalities for fractional integrals are established for (s,m)$(s,m)$-convex or s-concave functions. read more here.
Keywords: convex concave; fractional hermite; hadamard inequalities; hermite hadamard ... See more keywords
Improvement of fractional Hermite-Hadamard type inequality for convex functions
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DOI: 10.18514/mmn.2018.2441
Abstract: In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejér inequality are just results of Hermite-Hadamard-Fejér inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-HadamardFejér inequality… read more here.
Keywords: type; fractional hermite; hermite hadamard; inequality ... See more keywords