Abstract
In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay via measures of noncompactness. Fractional calculus and fixed-point approach are taken into consideration to study the primary outcomes. Finally, we extend the results to the existence of a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of theory.
| Original language | English |
|---|---|
| Pages (from-to) | 1438-1455 |
| Number of pages | 18 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 2 |
| DOIs | |
| State | Published - 30 Jan 2021 |
Keywords
- Hilfer fractional evolution system
- measures of noncompactness
- mild solutions
- neutral system
- nonlocal conditions
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