On the solution of the fractional nonlinear Schrödinger equation

Solution of fractional partial differential equations using iterative method

“…Observe that the solution of the initial value problem (3.9)-(3.10) obtained by the Adomain decomposition method [32] is exactly the same as the solution (3.11) obtained above.…”

“…The initial value problem (3.9)-(3.10) is solved by the Adomain decomposition method by Rida et al in [32] which is a special case of the IVP (2.1)-(2.2). It is equivalent to the integral equation…”

The effect of the environmental parameter on the Hantavirus infection through a fractional-order SI model

“…For example, the nonlinear oscillation of earthquake can be modeled with fractional derivatives, and the fluiddynamic traffic model with fractional derivatives can eliminate the deficiency arising from the assumption of continuum traffic flow. However, during the last ten years fractional calculus starts to attract much more attention of physicists and mathematicians [17]. In biology, it has been deduced that the membranes of cells of biological organism have fractional-order electrical conductance [4] and then are classified in groups of non-integer order models.…”

A Few Complex Equations Constituted by an Operator Consisting of Fractional Calculus and Their Consequences

“…In their turn, mathematical aspects of studies on FDC were discussed by several authors. For those, can be also seen the works in [3,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”