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The existence of solutions for fractional evolution equations has been studied by many authors during recent years.
The dynamical behavior of solutions of this model and its various modifications have been extensively studied by many authors during the last couple of decades.
Moreover, Cahn-Hilliard equations-type such as (1.1) have been studied by many authors during the last decades, especially for non-negative solutions.
Arising from problems in applied sciences, it is well known that anti-periodic problems of nonlinear differential equations have been extensively studied by many authors during the past twenty years; see [10 21] and references cited therein.
The problem of studying the quasilinearity properties of functionals associated with some celebrated inequalities such as the Jensen, Cauchy-Bunyakowsky-Schwarz, Hölder, Minkowski and other famous inequalities has been investigated by many authors during the last 50 years.
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Many authors agree that, during a seizure, the brain activity is more predictable than during a normal, nonseizure phase and this is reflected by a sudden drop in the entropy value [ 15, 30, 39– 41].
Many authors suggest that during delay eyeblink conditioning, plasticity occurs in both the cerebellar cortex and deep cerebellar nuclei (for reviews, see Attwell et al. 2002; Christian & Thompson 2003; De Zeeuw & Yeo 2005; Ito 2002).
Many authors reported that during favorable weather conditions, the majority of migration appears above the rotor swept zone (e.g., Aumüller et al. 2011; Coppack et al. 2011; Reichenbach and Grünkorn 2011).
This observation is basically contradictory to the findings of many authors who observed positive pressures during chewing, during swallowing and at rest [ 17, 19, 31, 32].
Regarding motor function, many authors documented poor results during early postoperative period.
Many authors claim that urinary incontinence during pregnancy is an important predictor for urinary incontinence postpartum and later in life.
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