The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems

R. Poovarasan; Pushpendra Kumar; Kottakkaran Sooppy Nisar; V. Govindaraj

doi:10.3934/math.2023857

The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems

R. Poovarasan
, Pushpendra Kumar
, Kottakkaran Sooppy Nisar
, V. Govindaraj

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this article, we derive some novel results of the existence, uniqueness, and stability of the solution of generalized Caputo-type fractional boundary value problems (FBVPs). The Banach contraction principle, along with necessary features of fixed point theory, is used to establish our results. An example is illustrated to justify the validity of the theoretical observations.

Original language	English
Pages (from-to)	16757-16772
Number of pages	16
Journal	AIMS Mathematics
Volume	8
Issue number	7
DOIs	https://doi.org/10.3934/math.2023857
State	Published - 2023

Keywords

existence
fractional boundary value problem
generalized Caputo derivative
uniqueness, Ulam-Hyers stability

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10.3934/math.2023857

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abstract = "In this article, we derive some novel results of the existence, uniqueness, and stability of the solution of generalized Caputo-type fractional boundary value problems (FBVPs). The Banach contraction principle, along with necessary features of fixed point theory, is used to establish our results. An example is illustrated to justify the validity of the theoretical observations.",

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AU - Nisar, Kottakkaran Sooppy

AU - Govindaraj, V.

PY - 2023

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AB - In this article, we derive some novel results of the existence, uniqueness, and stability of the solution of generalized Caputo-type fractional boundary value problems (FBVPs). The Banach contraction principle, along with necessary features of fixed point theory, is used to establish our results. An example is illustrated to justify the validity of the theoretical observations.

KW - existence

KW - fractional boundary value problem

KW - generalized Caputo derivative

KW - uniqueness, Ulam-Hyers stability

UR - https://www.scopus.com/pages/publications/85159095249

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The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems

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Keywords

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