International Journal on Science and Technology

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Existence Results of Fractional Hilfer Boundary Value Problem Involving Nonlocal Integral Boundary Conditions

Author(s) Priti Bansal, Manjeet Singh
Country India
Abstract The existence and uniqueness (EU) results for Boundary value problem (BVP) with Hilfer fractional derivative (HFD) comprising integral nonlocal boundary condition(BC) are the focus of this study. To arrive at our desired findings, we have engaged the Leray Schauder nonlinear alternative and the fixed-point theorem by Boyd and Wong on nonlinear contractions. Additionally, examples have been provided to highlight our findings.
Keywords Nonlocal Integral BC; HFD; BVP; Fixed Point Theorems; EU.
Field Mathematics
Published In Volume 14, Issue 4, October-December 2023
Published On 2023-11-16
Cite This Existence Results of Fractional Hilfer Boundary Value Problem Involving Nonlocal Integral Boundary Conditions - Priti Bansal, Manjeet Singh - IJSAT Volume 14, Issue 4, October-December 2023.

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