Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions
Topological techniques are used to establish existence results for a class of fractional differential equations Dαx(t)=f(t,x(t),Dα-1x(t)), with one of the following boundary value conditions: x(0)=A and Dα-1x(1)=B or Dα-1x(0)=A and x(1)=B, where 1<α≤2 is a real number, Dαx(t) is the conformable f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1465623 |
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| Summary: | Topological techniques are used to establish existence results for a class of fractional differential equations Dαx(t)=f(t,x(t),Dα-1x(t)), with one of the following boundary value conditions: x(0)=A and Dα-1x(1)=B or Dα-1x(0)=A and x(1)=B, where 1<α≤2 is a real number, Dαx(t) is the conformable fractional derivative, and f:[0,1]×R2→R is continuous. The main conditions on the nonlinear term f are sign conditions (i.e., the barrier strip conditions). The topological arguments are based on the topological transversality theorem. |
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| ISSN: | 2314-8896 2314-8888 |