Abstract
We study the existence and regularity of solutions for neutral integro-differential equations with nonlocal condition by applying the theory of resolvent operators established recently in the literature. Since the nonlinear terms of the systems involve spacial derivatives, we make full use of the theory of fractional power, the ff-norm, and Schauder's fixed point theorem to discuss the problems. An example is given to illustrate the applications of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 239-258 |
| Number of pages | 20 |
| Journal | Journal of Integral Equations and Applications |
| Volume | 32 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2020 |
Keywords
- Fractional power operator
- Neutral integro-differential equation
- Nonlocal condition
- Resolvent operator
- Schauder's fixed point theorem