Abstract
The main goal of this paper is to investigate a newly proposed hybrid and hybrid inclusion problem consisting of fractional differential problems involving two different fractional derivatives of order μ, Caputo and Liouville–Riemann operators, with multi-order mixed Riemann–Liouville integro-derivative conditions. Although α is between one and two, we need three boundary value conditions to find the integral equation. The study investigates the results of existence for hybrid, hybrid inclusion, and non-hybrid inclusion problems by employing several analytical approaches, including Dhage’s technique,
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Articles in the same Issue
- Frontmatter
- Modified ridge estimator in the Bell regression model
- Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters
- Ensemble Kalman inversion based on level set method for inverse elastic scattering problem
- Optimal experiment design for inverse problems via selective normalization and zero-shift times
- A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates
- Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization
- Accelerating regional weather forecasting by super-resolution and data-driven methods
- Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces
- On recovering Sturm–Liouville operators with two delays
- Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem
- Integrating the probe and singular sources methods
- Determination of an unknown coefficient in the Korteweg–de Vries equation
Articles in the same Issue
- Frontmatter
- Modified ridge estimator in the Bell regression model
- Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters
- Ensemble Kalman inversion based on level set method for inverse elastic scattering problem
- Optimal experiment design for inverse problems via selective normalization and zero-shift times
- A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates
- Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization
- Accelerating regional weather forecasting by super-resolution and data-driven methods
- Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces
- On recovering Sturm–Liouville operators with two delays
- Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem
- Integrating the probe and singular sources methods
- Determination of an unknown coefficient in the Korteweg–de Vries equation