Question

Definition of fractional order differential equations

Answer 1

Answer:

or example in dynamics first derivative is rate or velocity: dx/dt

or the second derivative is acceleration: d2x/dt2

but in some cases we see fractional differential equations such as( d^0.8x/dt^0.8). I mean the order is fractional and 0.8 can be another fractional number. in mathematics there is no problem with this but what is the physical meaning? this equations are frequently used in anomalous diffusion.

Step-by-step explanation:

Answer 2

hey you here is your answer

In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order. Such systems are said to have fractional dynamics.

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