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Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses
| Content Provider | MDPI |
|---|---|
| Author | Salim, Abdelkrim Benchohra, Mouffak Graef, John Lazreg, Jamal |
| Copyright Year | 2020 |
| Description | This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivatives. The results are based on Banach’s contraction principle and Krasnosel’skii’s fixed point theorem. To illustrate the results, an example is provided. |
| Starting Page | 1 |
| e-ISSN | 25043110 |
| DOI | 10.3390/fractalfract5010001 |
| Journal | Fractal and Fractional |
| Issue Number | 1 |
| Volume Number | 5 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-12-22 |
| Access Restriction | Open |
| Subject Keyword | Fractal and Fractional Automotive Engineering Generalized Hilfer Fractional Derivative Implicit Fractional Differential Equations Non-instantaneous Impulses Existence Gronwall Lemma Fixed Point Impulses Ulam Stability |
| Content Type | Text |
| Resource Type | Article |