Aderyani, Safoura RezaeiSaadati, RezaAllahviranloo, Tofigh2022-07-192022-07-192022Aderyani, S. R., Saadati, R., & Allahviranloo, T. (2022). Existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability for P -hilfer fractional differential equations in matrix-valued fuzzy banach space. Computational and Applied Mathematics, 41(6) doi:10.1007/s40314-022-01935-x2238-3603https://10.1007/s40314-022-01935-xhttps://hdl.handle.net/20.500.12713/3016We introduce a new class of fuzzy control functions and define the concept of matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability. Then, we apply Radu–Mihet method derived from an alternative fixed point theorem to investigate existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability of a a class of P-Hilfer fractional differential equations in matrix-valued fuzzy Banach space. Next, we show the main results for unbounded domains. An example is given to illustrate the Mittag–Leffler–Hypergeometric–Wright stability for a fractional system. © 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.eninfo:eu-repo/semantics/closedAccessExistenceFractional Differential EquationFuzzy SetHypergeometric SeriesMittag–Leffler FunctionMVFB-SpaceP-Hilfer FunctionStabilityUniquenessWright FunctionArticle416WOS:0008216118000042-s2.0-85133556237Q110.1007/s40314-022-01935-xQ2