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A generalized Gronwall inequality via ψ-Hilfer proportional fractional operators and its applications to nonlocal Cauchy-type system.
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- AIMS Mathematics (2473-6988), 2024, v. 9, n. 9, p. 24443, doi. 10.3934/math.20241191
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- Article
A mathematical model for fractal-fractional monkeypox disease and its application to real data.
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- AIMS Mathematics (2473-6988), 2024, v. 9, n. 4, p. 8516, doi. 10.3934/math.2024414
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- Article
Existence and stability results for impulsive (κ, ω)-Hilfer fractional double integro-differential equation with mixed nonlocal conditions.
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- AIMS Mathematics (2473-6988), 2023, v. 8, n. 9, p. 20437, doi. 10.3934/math.20231042
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- Article
Measure of non-compactness for nonlocal boundary value problems via (κ, ψ)-Riemann-Liouville derivative on unbounded domain.
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- AIMS Mathematics (2473-6988), 2023, v. 8, n. 9, p. 20018, doi. 10.3934/math.20231020
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- Article
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative.
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- Boundary Value Problems, 2020, v. 2020, n. 1, p. 1, doi. 10.1186/s13661-020-01473-7
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- Article
Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions.
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- Advances in Mathematical Physics, 2014, p. 1, doi. 10.1155/2014/372749
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On Impulsive Implicit ψ -Caputo Hybrid Fractional Differential Equations with Retardation and Anticipation.
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- Mathematics (2227-7390), 2022, v. 10, n. 24, p. 4821, doi. 10.3390/math10244821
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- Article
Nonlocal Impulsive Fractional Integral Boundary Value Problem for (ρ k , ϕ k)-Hilfer Fractional Integro-Differential Equations.
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- Mathematics (2227-7390), 2022, v. 10, n. 20, p. 3874, doi. 10.3390/math10203874
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- Article
A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation.
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- Mathematics (2227-7390), 2022, v. 10, n. 19, p. 3655, doi. 10.3390/math10193655
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- Article
Existence of Solutions for Coupled Higher-Order Fractional Integro-Differential Equations with Nonlocal Integral and Multi-Point Boundary Conditions Depending on Lower-Order Fractional Derivatives and Integrals.
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- Mathematics (2227-7390), 2022, v. 10, n. 11, p. 1823, doi. 10.3390/math10111823
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- Article
Dynamical Analysis of Nutrient-Phytoplankton-Zooplankton Model with Viral Disease in Phytoplankton Species under Atangana-Baleanu-Caputo Derivative.
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- Mathematics (2227-7390), 2022, v. 10, n. 9, p. 1578, doi. 10.3390/math10091578
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- Article
Novel Generalized Proportional Fractional Integral Inequalities on Probabilistic Random Variables and Their Applications.
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- Mathematics (2227-7390), 2022, v. 10, n. 4, p. N.PAG, doi. 10.3390/math10040573
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- Article
A Study of ψ -Hilfer Fractional Boundary Value Problem via Nonlinear Integral Conditions Describing Navier Model.
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- Mathematics (2227-7390), 2021, v. 9, n. 24, p. 3292, doi. 10.3390/math9243292
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- Article
On generalized (k,ψ)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem.
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- Boundary Value Problems, 2024, v. 2024, n. 1, p. 1, doi. 10.1186/s13661-024-01891-x
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- Article
On generalized (k,ψ)-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem.
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- Boundary Value Problems, 2024, v. 2024, n. 1, p. 1, doi. 10.1186/s13661-024-01891-x
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- Article
On systems of fractional Langevin equations of Riemann-Liouville type with generalized nonlocal fractional integral boundary conditions.
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- Journal of Computational Analysis & Applications, 2019, v. 27, n. 4, p. 723
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- Article
On systems of fractional Langevin equations of Riemann-Liouville type with generalized nonlocal fractional integral boundary conditions.
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- Journal of Computational Analysis & Applications, 2019, v. 27, n. 1, p. 723
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- Article
On systems of fractional Langevin equations of Riemann-Liouville type with generalized nonlocal fractional integral boundary conditions.
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- Journal of Computational Analysis & Applications, 2019, v. 26, n. 1, p. 723
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- Article
An Existence Study on the Fractional Coupled Nonlinear q-Difference Systems via Quantum Operators along with Ulam–Hyers and Ulam–Hyers–Rassias Stability.
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- Journal of Function Spaces, 2022, p. 1, doi. 10.1155/2022/4483348
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- Article
Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense.
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- Mathematical Biosciences & Engineering, 2022, v. 19, n. 11, p. 10762, doi. 10.3934/mbe.2022504
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- Article
Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions.
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- International Journal of Differential Equations, 2014, p. 1, doi. 10.1155/2014/791240
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- Article
Maximum Principles for Second-Order Impulsive Integro-Differential Equations with Integral Jump Conditions.
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- Bulletin of the Malaysian Mathematical Sciences Society, 2016, v. 39, n. 3, p. 971, doi. 10.1007/s40840-015-0209-y
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- Article
Analysis of Impulsive Boundary Value Pantograph Problems via Caputo Proportional Fractional Derivative under Mittag–Leffler Functions.
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- Fractal & Fractional, 2021, v. 5, n. 4, p. 251, doi. 10.3390/fractalfract5040251
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- Article
Analysis of a Nonlinear ψ -Hilfer Fractional Integro-Differential Equation Describing Cantilever Beam Model with Nonlinear Boundary Conditions.
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- Fractal & Fractional, 2021, v. 5, n. 4, p. 177, doi. 10.3390/fractalfract5040177
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- Article
A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators.
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- Journal of Inequalities & Applications, 2023, v. 2023, n. 1, p. 1, doi. 10.1186/s13660-023-02929-x
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- Article