A new exploration on existence of fractional neutral integro-differential equations in the concept of Atangana-Baleanu derivative. (English) Zbl 07527214
Summary: In this paper, we investigate a new fractional derivative with Mittag Leffler kernels (AB-derivative) to the fractional neutral integro-differential equations in Banach spaces. The results are based on fixed point theorems, then we implement a suitable examples and illustrate it by graphical methods with variation of fractional order.
MSC:
| 82-XX | Statistical mechanics, structure of matter |
| 58C30 | Fixed-point theorems on manifolds |
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K40 | Neutral functional-differential equations |
Keywords:
neutral integro-differential equations; AB-derivative; fixed point technique; fractional calculusReferences:
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