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Initial value problems in discrete fractional calculus

Proceedings of the American Mathematical Society, 2009-03, Vol.137 (3), p.981-989

2009

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A Signed Maximum Principle for Boundary Value Problems for Riemann–Liouville Fractional Differential Equations with Analogues of Neumann or Periodic Boundary Conditions

Mathematics (Basel), 2024-04, Vol.12 (7), p.1000

2024

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Two-point boundary value problems for ordinary differential equations, uniqueness implies existence

Proceedings of the American Mathematical Society, 2020-10, Vol.148 (10), p.4377-4387, Article 4377

2020

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Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers

Abstract and applied analysis, 2020, Vol.2020 (2020), p.1-14

2020

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Two-point boundary value problems for finite fractional difference equations

Journal of difference equations and applications, 2011-04, Vol.17 (4), p.445-456

2011

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Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

Abstract and applied analysis, 2020, Vol.2020 (2020), p.1-23

2020

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On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting

Abstract and applied analysis, 2019, Vol.2019 (2019), p.1-9

2019

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On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium

Abstract and applied analysis, 2018, Vol.2018 (2018), p.1-5

2018

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Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations

Electronic journal of differential equations, 2019-05, Vol.2019 (58), p.1-13

2019

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LINEAR SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS

The Rocky Mountain journal of mathematics, 2011-01, Vol.41 (2), p.353-370

2011

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Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues

Cubo (Temuco, Chile), 2023-08, Vol.25 (2), p.251-272

2023

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Green’s Functions for a Fractional Boundary Value Problem with Three Terms

Foundations (Basel), 2022-10, Vol.2 (4), p.885-897

2022

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Avery fixed point theorem applied to Hammerstein integral equations

Electronic journal of differential equations, 2019-08, Vol.2019 (99), p.1-20

2019

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Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions

Applied mathematics letters, 2005-05, Vol.18 (5), p.521-527

2005

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Comparison of Green's functions for a family of boundary value problems for fractional difference equations

Journal of difference equations and applications, 2019-06, Vol.25 (6), p.776-787

2019

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Fractional q-Calculus on a time scale

Journal of nonlinear mathematical physics, 2007, Vol.14 (3), p.341-352

2007

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Convolutions and Green's functions for two families of boundary value problems for fractional differential equations

Electronic journal of differential equations, 2016-11, Vol.2016 (297), p.1-13

2016

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Existence and comparison of smallest eigenvalues for a fractional boundary-value problem

Electronic journal of differential equations, 2014-02, Vol.2014 (43), p.1-10

2014

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Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations

Journal of mathematical analysis and applications, 2007-07, Vol.331 (1), p.240-247

2007

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A global uniqueness of solutions implies global existence for (l+1)-point boundary value problems

The Rocky Mountain journal of mathematics, 2022-04, Vol.52 (2)

2022

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Corrigenda to ``Two-point boundary value problems for ordinary differential equations, uniqueness implies existence

Proceedings of the American Mathematical Society, 2022-08, Vol.150 (8), p.3649-3654

2022

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Maximum principles for a family of nonlocal boundary value problems

Advances in difference equations, 2004, Vol.2004 (3), p.201-210, Article 469624

Eloe, Paul W

2004

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Discrete fractional calculus with the nabla operator

Electronic journal of qualitative theory of differential equations, 2009-01, Vol.2009 (3), p.1-12

2009

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Existence and uniqueness of solutions for impulsive fractional differential equations

Applied mathematics and computation, 2013-11, Vol.224, p.422-431

2013

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Gronwall’s inequality on discrete fractional calculus

Computers & mathematics with applications (1987), 2012-11, Vol.64 (10), p.3193-3200

2012

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Initial value problems in discrete fractional calculus

A Signed Maximum Principle for Boundary Value Problems for Riemann–Liouville Fractional Differential Equations with Analogues of Neumann or Periodic Boundary Conditions

Two-point boundary value problems for ordinary differential equations, uniqueness implies existence

Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers

Two-point boundary value problems for finite fractional difference equations

Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting

On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium

Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations

LINEAR SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS

Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues

Green’s Functions for a Fractional Boundary Value Problem with Three Terms

Avery fixed point theorem applied to Hammerstein integral equations

Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions

Comparison of Green's functions for a family of boundary value problems for fractional difference equations

Fractional q-Calculus on a time scale

Convolutions and Green's functions for two families of boundary value problems for fractional differential equations

Existence and comparison of smallest eigenvalues for a fractional boundary-value problem

Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations

A global uniqueness of solutions implies global existence for (l+1)-point boundary value problems

Corrigenda to ``Two-point boundary value problems for ordinary differential equations, uniqueness implies existence

Maximum principles for a family of nonlocal boundary value problems

Discrete fractional calculus with the nabla operator

Existence and uniqueness of solutions for impulsive fractional differential equations

Gronwall’s inequality on discrete fractional calculus

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