On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion
In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of psi-Caputo. To emphasize the novelty of the manuscript, a pure technique of the noncompactness measures...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Published: |
Institute for Ionics
2023
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/38571/ |
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| Summary: | In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of psi-Caputo. To emphasize the novelty of the manuscript, a pure technique of the noncompactness measures is applied to a hybrid system based on the notion of the modulus of continuity in Darbo's criterion that covers the existing results of other works published before. The Ulam-Hyers and generalized Ulam-Hyers stabilities are explored for the given neutral nonhybrid nonlinear problem. An application is prepared in the framework of an example to ensure the validity of theorems for different cases. |
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