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A Gronwall inequality via the generalized proportional fractional derivative with applications

Journal of inequalities and applications, 2019-04, Vol.2019 (1), p.1-12, Article 101

2019

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On the qualitative analysis of the fractional boundary value problem describing thermostat control model via ψ-Hilfer fractional operator

Advances in difference equations, 2021-04, Vol.2021 (1), Article 201

2021

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On generalized (k,ψ)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

Boundary value problems, 2024-07, Vol.2024 (1), p.83-32, Article 83

2024

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On analysis of a nonlinear fractional system for social media addiction involving Atangana–Baleanu–Caputo derivative

Advances in difference equations, 2021-07, Vol.2021 (1), Article 356

2021

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Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

Boundary value problems, 2020-12, Vol.2020 (1), p.1-30, Article 176

2020

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Stability analysis of boundary value problems for Caputo proportional fractional derivative of a function with respect to another function via impulsive Langevin equation

AIMS mathematics, 2021-01, Vol.6 (7), p.6647-6686

2021

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Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in difference equations, 2021-01, Vol.2021 (1), Article 50

2021

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A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Journal of inequalities and applications, 2023-02, Vol.2023 (1), p.20-35, Article 20

2023

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Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense

Mathematical biosciences and engineering : MBE, 2022-01, Vol.19 (11), p.10762-10808

2022

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A generalized Gronwall inequality via $ \psi $-Hilfer proportional fractional operators and its applications to nonlocal Cauchy-type system

AIMS mathematics, 2024-08, Vol.9 (9), p.24443-24479

2024

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Existence and stability results for impulsive $ (k, \psi) $-Hilfer fractional double integro-differential equation with mixed nonlocal conditions

AIMS mathematics, 2023-01, Vol.8 (9), p.20437-20476

2023

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Measure of non-compactness for nonlocal boundary value problems via $ (k, \psi) $-Riemann-Liouville derivative on unbounded domain

AIMS mathematics, 2023-01, Vol.8 (9), p.20018-20047

2023

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A mathematical model for fractal-fractional monkeypox disease and its application to real data

AIMS mathematics, 2024-01, Vol.9 (4), p.8516-8563

2024

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On Impulsive Implicit ψ-Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation

Mathematics (Basel), 2022-12, Vol.10 (24), p.4821

2022

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Analysis of a nonlinear fractional system for Zika virus dynamics with sexual transmission route under generalized Caputo-type derivative

Journal of applied mathematics & computing, 2022-12, Vol.68 (6), p.4273-4303

2022

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On the oscillation of differential equations in frame of generalized proportional fractional derivatives

AIMS mathematics, 2020-01, Vol.5 (2), p.856-871

2020

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Analysis of Impulsive Boundary Value Pantograph Problems via Caputo Proportional Fractional Derivative under Mittag–Leffler Functions

Fractal and fractional, 2021-12, Vol.5 (4), p.251

2021

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Oscillatory Behavior of a Type of Generalized Proportional Fractional Differential Equations with Forcing and Damping Terms

Mathematics (Basel), 2020-06, Vol.8 (6), p.1037

2020

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Analysis of a Nonlinear ψ-Hilfer Fractional Integro-Differential Equation Describing Cantilever Beam Model with Nonlinear Boundary Conditions

Fractal and fractional, 2021-12, Vol.5 (4), p.177

2021

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Study of the Effect of ACL Anode Catalytic Layer Porosity on the Efficiency of a Direct Methanol Fuel Cell

Annales de chimie (Paris. 1914), 2022-02, Vol.46 (1), p.53-60

2022

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A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation

Mathematics (Basel), 2022-10, Vol.10 (19), p.3655

2022

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Optimal Design and Performance Comparison of a Combined ANFIS-PID with Back Stepping Technique, Using Various Meta-Heuristic Algorithms to Solve Wheeled Mobile Robot Trajectory Tracking Problem

Journal Européen des Systèmes Automatisés, 2022-06, Vol.55 (3), p.281-298

2022

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Nonlocal coupled system for $ \psi $-Hilfer fractional order Langevin equations

AIMS mathematics, 2021-06, Vol.6 (9), p.9731-9756

2021

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A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative

Mathematics (Basel), 2019-08, Vol.7 (8), p.747

2019

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Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative

AIMS mathematics, 2021-05, Vol.6 (7), p.7285-7304

2021

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A Gronwall inequality via the generalized proportional fractional derivative with applications

On the qualitative analysis of the fractional boundary value problem describing thermostat control model via ψ-Hilfer fractional operator

On generalized (k,ψ)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem

On analysis of a nonlinear fractional system for social media addiction involving Atangana–Baleanu–Caputo derivative

Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

Stability analysis of boundary value problems for Caputo proportional fractional derivative of a function with respect to another function via impulsive Langevin equation

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense

A generalized Gronwall inequality via $ \psi $-Hilfer proportional fractional operators and its applications to nonlocal Cauchy-type system

Existence and stability results for impulsive $ (k, \psi) $-Hilfer fractional double integro-differential equation with mixed nonlocal conditions

Measure of non-compactness for nonlocal boundary value problems via $ (k, \psi) $-Riemann-Liouville derivative on unbounded domain

A mathematical model for fractal-fractional monkeypox disease and its application to real data

On Impulsive Implicit ψ-Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation

Analysis of a nonlinear fractional system for Zika virus dynamics with sexual transmission route under generalized Caputo-type derivative

On the oscillation of differential equations in frame of generalized proportional fractional derivatives

Analysis of Impulsive Boundary Value Pantograph Problems via Caputo Proportional Fractional Derivative under Mittag–Leffler Functions

Oscillatory Behavior of a Type of Generalized Proportional Fractional Differential Equations with Forcing and Damping Terms

Analysis of a Nonlinear ψ-Hilfer Fractional Integro-Differential Equation Describing Cantilever Beam Model with Nonlinear Boundary Conditions

Study of the Effect of ACL Anode Catalytic Layer Porosity on the Efficiency of a Direct Methanol Fuel Cell

A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation

Optimal Design and Performance Comparison of a Combined ANFIS-PID with Back Stepping Technique, Using Various Meta-Heuristic Algorithms to Solve Wheeled Mobile Robot Trajectory Tracking Problem

Nonlocal coupled system for $ \psi $-Hilfer fractional order Langevin equations

A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative

Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative

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