Our aim is the development and analysis of numerical schemes for approximately solving backward diffusion-wave problem, which involves a fractional derivative in time with order $\alpha\in(1,2)$. From terminal observations at two levels, i.e., $u(T_1)$ $u(T_2)$, we simultaneously recover initial data $u(0)$ $u_t(0)$ hence solution $u(t)$ all $t > 0$. First, existence, uniqueness, Lipschitz stab...

Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments displacement, with exponents that do not depend linearly on order moment. The concerning small-order are dominated random motion, while higher-order grow faster trajectories, such as ballistic excursions or "light fronts". Often a situation two linear dependencies their order. Here, we introduce simple exa...

:هلاقم هصلاخ هداد حیضوت تیوضع عباوت ریداقم هلیسو هب تفج هب تفج هسیاقم هک ینامز یزاف یبتارم هلسلس لیلحترد اب یزافیراگزاس زا یفیرعت قیقحت نیا رد ،تسا هداس رایسب متسیس یراگزاس دروم رد ثحب،دوش یم ثعابو دنتسه رادروخرب یا هژیو تیمها زا یزاف یاه تبسن ،ًامازلا .دوش یم هئارا یراگزاس خرن نازیم یعضوم یاه تیولا تیوضع ریداقم اب یاه تیدودحم ناونع هب نینچمه ،دوش یم یراگزاسان خرن داجیا یدنب هبتر max-minیاه هعوم...

Assume that $${\mathbb {F}}$$ is an algebraically closed field and let q denote a nonzero scalar in not root of unity. The universal Askey–Wilson algebra $$\triangle _q$$ unital associative -algebra defined by generators relations. are A, B, C the relations state each $$\begin{aligned} A+\frac{q BC-q^{-1} CB}{q^2-q^{-2}}, \qquad B+\frac{q CA-q^{-1} AC}{q^2-q^{-2}}, C+\frac{q AB-q^{-1} BA}{q^2-q...