On Nonlinear Analysis for Multi-term Delay Fractional Differential Equations Under Hilfer Derivative

doi:10.1007/s42967-023-00351-0

Abstract

Abstract: In this manuscript, a class of multi-term delay fractional differential equations (FDEs) under the Hilfer derivative is considered. Some newly updated results are established under boundary conditions. For the required results, we utilize the fixed point theory and tools of the nonlinear functional analysis. Further keeping in mind the importance of stability results, we develop some adequate results about the said aspect. The Hyers-Ulam (H-U)-type concept is used to derive the required stability for the solution of the considered problem. Finally, by appropriate test problems, we justify our findings.

Key words: Hilfer derivative, Multi-term, Existence results, Stability

CLC Number:

Dildar Ahmad, Amjad Ali, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad. On Nonlinear Analysis for Multi-term Delay Fractional Differential Equations Under Hilfer Derivative[J]. Communications on Applied Mathematics and Computation, 2025, 7(4): 1516-1539.

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