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Fractional-Order Integro-Differential Multivalued Problems with Fixed and Nonlocal Anti-Periodic Boundary Conditions
| Content Provider | MDPI |
|---|---|
| Author | Alsaedi, Ahmed Agarwal, Ravi P. Ntouyas, Sotiris K. Ahmad, Bashir |
| Copyright Year | 2020 |
| Description | This paper studies a new class of fractional differential inclusions involving two Caputo fractional derivatives of different orders and a Riemann–Liouville type integral nonlinearity, supplemented with a combination of fixed and nonlocal (dual) anti-periodic boundary conditions. The existence results for the given problem are obtained for convex and non-convex cases of the multi-valued map by applying the standard tools of the fixed point theory. Examples illustrating the obtained results are presented. |
| Starting Page | 1774 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math8101774 |
| Journal | Mathematics |
| Issue Number | 10 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-10-14 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Automotive Engineering Fractional Differential Inclusion Caputo Derivative Riemann–liouville Integral Nonlocal Boundary Conditions Anti-periodic Boundary Conditions Existence Fixed Point Theorem |
| Content Type | Text |
| Resource Type | Article |