Conformable Granular Fractional Differentiability for Fuzzy Number Valued Functions

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DOI: https://doi.org/10.28924/2291-8639-22-2024-37
Published: Feb 27, 2024
Cite as:
G. Anusha, G. Suresh Kumar, S. Nagalakshmi, B. Madhavi, Conformable Granular Fractional Differentiability for Fuzzy Number Valued Functions, Int. J. Anal. Appl., 22 (2024), 37.

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G. Anusha, G. Suresh Kumar, S. Nagalakshmi, B. Madhavi

Abstract

This paper deals with the utilization of the concept of the granular differentiability to establish a fractional derivative of the conformable type for fuzzy number valued functions. Subsequently, we introduce the notion of a conformable granular integral and provide evidence of its fundamental properties pertaining to differentiability and integrability through illustrative examples. Lastly, we delve into the discussion of the solution approach for the conformable granular initial value problem (CGIVP), as well as the solution of conformable granular differential equations (CGDEqs) associated with growth and decay.

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