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Cited by 12 publications
(5 citation statements)
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“…However, the traditional second‐order advection–diffusion equation cannot accurately simulate these physical phenomena of anomalous diffusion. Therefore, some scholars have extended the classical advection–diffusion equation, that is, put forward the fractional advection–dispersion equation 6–10 . The fractional advection–dispersion equation can not only simulate anomalous diffusion but also simulate turbulence, chaotic dynamics of classical conservative systems and other physical phenomena.…”
Section: Introductionmentioning
confidence: 99%
“…However, the traditional second‐order advection–diffusion equation cannot accurately simulate these physical phenomena of anomalous diffusion. Therefore, some scholars have extended the classical advection–diffusion equation, that is, put forward the fractional advection–dispersion equation 6–10 . The fractional advection–dispersion equation can not only simulate anomalous diffusion but also simulate turbulence, chaotic dynamics of classical conservative systems and other physical phenomena.…”
Section: Introductionmentioning
confidence: 99%
“…The variational structure was established and various criteria on the existence of solutions were obtained. In [23], Teng et al . studied…”
Section: Introductionmentioning
confidence: 99%
“…Since ( ) and ( ) considered in (2) are not continuous at = , we need some modification on Definition 3. So we generalize Definition 3 in the following way, which will be applied to (2).…”
Section: Preliminarymentioning
confidence: 99%
“…Fractional differential equations have been extensively studied in recent years (see, for instance, [1][2][3][4][5][6][7] and their references). In addition, since Rabinowitz established unilateral global bifurcation theorems, there have been many researches in global bifurcation theory and it has been applied to obtain the existence and multiplicity for solutions of differential equations (see, for instance, [8][9][10][11][12][13][14][15][16] and their references).…”
Section: Introductionmentioning
confidence: 99%