On Maximal Regularity for Abstract Parabolic Problems with Fractional Time Derivative
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DOI: 10.1007/s00009-019-1309-y
Abstract: We consider initial value problems for abstract evolution equations with fractional time derivative. Concerning the Caputo derivative $$\mathbb {D}^\alpha u$$Dαu, we show that certain assumptions, which are known to be sufficient to get a unique… read more here.
Keywords: time derivative; regularity abstract; regularity; maximal regularity ... See more keywords
Optimal Control of Diffusion Equation with Fractional Time Derivative with Nonlocal and Nonsingular Mittag-Leffler Kernel
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DOI: 10.1007/s10957-018-1305-6
Abstract: In this paper, we consider a diffusion equation with fractional time derivative with nonsingular Mittag-Leffler kernel in Hilbert spaces. We first prove the existence and uniqueness of solution by means of a spectral argument. Then,… read more here.
Keywords: equation fractional; fractional time; nonsingular mittag; time derivative ... See more keywords
Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories
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DOI: 10.3390/ma15072432
Abstract: This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under… read more here.
Keywords: unbounded medium; multi time; magneto thermoelastic; spherical hole ... See more keywords