عنوان	On the invariant solutions of space/time-fractional diffusion equations
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Space/time-fractional diffusion equation, Lie symmetry analysis, Exact solution, Riemann–Liouville derivative
چکیده	This paper is concerned with the space/time-fractional diffusion equations using Lie symmetry analysis. We introduce a generalized nonclassical method that is applied to differential equations with fractional order. The existing methods give some classical symmetries while the nonclassical approach will retrieve other symmetries to these equations. New exact solutions to the fractional diffusion equations are found.
پژوهشگران	میر سجاد هاشمی (نفر سوم)، فریبا بهرامی (نفر اول)، رامین نجفی باغچه جوقی (نفر دوم)