A Unified k-Operator Approach for Solving Difficult Differential Equations: Beyond Classical Calculus

This paper presents a novel mathematical operator, the k-operator, which unifies differentiation and integration beyond classical calculus. The approach enables analytic and semi-analytic solutions to difficult differential equations, with broad applications in mathematics, quantum gravity, and fractal systems.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29652104
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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A Unified k-Operator Approach for Solving Difficult Differential Equations: Beyond Classical Calculus

Figshare
Algebraic and Geometric Analysis
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A Unified k-Operator Approach for Solving Difficult Differential Equations: Beyond Classical Calculus

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Abstract

This paper presents a novel mathematical operator, the k-operator, which unifies differentiation and integration beyond classical calculus. The approach enables analytic and semi-analytic solutions to difficult differential equations, with broad applications in mathematics, quantum gravity, and fractal systems.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl

Figshare
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Algebraic and Geometric Analysis
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A Unified k-Operator Approach for Solving Difficult Differential Equations: Beyond Classical Calculus · Figshare (2025) | TGRS Research Map | TGRS