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High order random fractional differential equations: Existence, uniqueness and data dependence

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Abstract In this work, we are concerned with a high order random fractional differential equation with nonlocal conditions in a suitable Banach space. An existence and uniqueness of solutions for… Click to show full abstract

Abstract In this work, we are concerned with a high order random fractional differential equation with nonlocal conditions in a suitable Banach space. An existence and uniqueness of solutions for the given problem are obtained. New concepts on the continuous and high order fractional derivative dependence are introduced and some stability results on random as well for deterministic data dependence are discussed.

Keywords: order; dependence; random fractional; order random; high order; fractional differential

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2021

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