A new derivative was recently launched by Caputo and Fabrizio [1] and it was followed by some related theoretical and applied results (for example [2-4] and the references therein). We recall thatâ€¦ (More)

Methods were developed to quantify variation in the fruit, nut and kernel traits using the fruits from four trees of Irvingia gabonensis, an indigenous fruit tree of west and central Africa. Theâ€¦ (More)

We were concerned with the description of the boundary layers problems within the scope of fractional calculus. However, we will note that one of the main methods used to solve these problems is theâ€¦ (More)

Fractional advection-dispersion equations are used in groundwater hydrology to model the transport of passive tracers carried by fluid flow in porous medium. A space-time fractionalâ€¦ (More)

Groundwater models describe the groundwater flow and transport processes using mathematical equations based on certain simplifying assumptions. These assumptions typically involve the direction ofâ€¦ (More)

Using some investigations based on information theory, the model proposed by Keller and Segel was extended to the concept of fractional derivative using the derivative with fractional order withoutâ€¦ (More)

and Applied Analysis 3 Ta bl e 1: Fr ac tio na lo rd er de riv at iv es fo rs om ef un ct io ns . Fu nc tio ns Lfr ac tio na ld er iv at iv es x Î² , > âˆ’ 1 x âˆ’ Î± + Î² Î“ ( 1 + Î² )

and Applied Analysis 3 Subject to the initial condition D Î±âˆ’k 0 U (x, 0) = f k (x) , (k = 0, . . . , n âˆ’ 1) , D Î±âˆ’n 0 U (x, 0) = 0, n = [Î±] , D k 0 U (x, 0) = g k (x) , (k = 0, . . . , n âˆ’ 1) , D n 0â€¦ (More)

The aim of this work was to convert the Thiem and the Theis groundwater flow equation to the time-fractional groundwater flow model. We first derived the analytical solution of theTheimâ€¦ (More)