Solvability of a nonlinear integro-differential equation with fractional order using the Bernoulli matrix approach

Solvability of a nonlinear integro-differential equation with fractional order using the Bernoulli matrix approach

Under some suitable conditions, we study the existence and uniqueness of a solution to a new modification of a nonlinear fractional integro-differential equation (NFIDEq) in dual Banach space CE (E, [0, T]), which simulates several phenomena in mathematical physics, quantum mechanics, and other doma...

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Bibliographic Details
Main Authors: Raniyah E. Alsulaiman, Mohamed A. Abdou, Eslam M. Youssef, Mai Taha
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
fractional integro-differential equations
caputo fractional derivative
fixed point theorem
gauss quadrature formula
bernoulli matrix approach
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023377?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023377?viewType=HTML

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