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In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore,… Click to show full abstract
In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving piecewise Caputo-Fabrizio and Atangana–Baleanu fractional operators. The ensuring of the existence of solutions is shown by Ulam-Hyer’s stability. At last, two examples are given to show and approve our outcomes.
Keywords:
nonlocal implicit;
solutions piecewise;
qualitative study;
study solutions;
implicit fractional;
piecewise nonlocal
Journal Title: Journal of Function Spaces
Year Published: 2023
Link to full text (if available)
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Journal Title: Journal of Function Spaces
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!