On solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator Article Swipe

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Muhammad Aleem , Mujeeb ur Rehman , Jehad Alzabut , Sina Etemad , Shahram Rezapour ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1186/s13662-021-03459-w

In this work, we study the existence, uniqueness, and continuous dependence of solutions for a class of fractional differential equations by using a generalized Riesz fractional operator. One can view the results of this work as a refinement for the existence theory of fractional differential equations with Riemann–Liouville, Caputo, and classical Riesz derivative. Some special cases can be derived to obtain corresponding existence results for fractional differential equations. We provide an illustrated example for the unique solution of our main result.

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Mathematics

Mathematical Analysis

Partial Differential Equation

Differential Equation

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Mathematics Fractional calculus Uniqueness Operator (biology) Mathematical analysis Nonlinear system Riesz potential Boundary value problem Partial differential equation Ordinary differential equation Differential equation Physics Transcription factor Quantum mechanics Gene Repressor Chemistry Biochemistry

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Type: article
Language: en
Landing Page: https://doi.org/10.1186/s13662-021-03459-w
PDF: https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-021-03459-w
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Cited By: 3
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DOI: https://doi.org/10.1186/s13662-021-03459-w

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Title: On solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator

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Language: en

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Publication year: 2021

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Publication date: 2021-06-23

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Authors: Muhammad Aleem, Mujeeb ur Rehman, Jehad Alzabut, Sina Etemad, Shahram Rezapour

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Landing page: https://doi.org/10.1186/s13662-021-03459-w

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Concepts: Mathematics, Fractional calculus, Uniqueness, Operator (biology), Mathematical analysis, Nonlinear system, Riesz potential, Boundary value problem, Partial differential equation, Ordinary differential equation, Differential equation, Physics, Transcription factor, Quantum mechanics, Gene, Repressor, Chemistry, Biochemistry

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Cited by: 3

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