Some Existence and Stability Results for Hilfer-fractional Implicit Differential Equations with Nonlocal Conditions
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DOI: 10.1007/s00009-017-1061-0
Abstract: The aim of this paper is to establish the existence and uniqueness results for implicit differential equations of Hilfer-type fractional order via Schaefer’s fixed point theorem and Banach contraction principle. Next, we establish the equivalent… read more here.
Keywords: implicit differential; existence stability; stability results; differential equations ... See more keywords
Analysis of implicit differential equations via Ψ-fractional derivative
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DOI: 10.1080/09720502.2020.1741221
Abstract: Abstract In this paper, we discuss the existence, uniqueness and stability of implicit differential equation with Ψ-fractional derivative. The arguments are based upon Schauder fixed point theorem, Banach contraction principle and Ulam stability. read more here.
Keywords: implicit differential; fractional derivative; differential equations; analysis implicit ... See more keywords