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01374nam a2200193Ia 4500 |
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10.11948-20210265 |
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220425s2022 CNT 000 0 und d |
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|a 2156907X (ISSN)
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| 245 |
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|a SOLVABILITY OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR A CLASS OF FRACTIONAL ADVECTION-DISPERSION EQUATIONS THROUGH VARIATIONAL APPROACH∗
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|b Wilmington Scientific Publisher
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.11948/20210265
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|a In this paper, we probe into the solvability of Sturm-Liouville problem for fractional advection-dispersion equations without traditional Amb-rosetti-Rabinowitz conditions. Some existence results of infinitely many small negative energy and large energy solutions are obtained by employing variant fountain theorems. The nonlinearity f and li (i = 1, 2, …, m) are considered under certain appropriate assumptions which are distinct from those assumed in previous articles. In addition, the main result is confirmed by an example which is provided. © 2022, Wilmington Scientific Publisher. All rights reserved.
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|a fractional advection-dispersion equations
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|a Sturm-Liouville boundary conditions
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|a variant fountain theorems
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|a variational method
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|a Chen, F.
|e author
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|a Min, D.
|e author
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| 773 |
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|t Journal of Applied Analysis and Computation
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