Search Results - "Graef, John R."

Existence results for boundary value problems with non-linear fractional differential equations by Benchohra, Mouffak, R. Graef, John, Hamani, Samira

“…In this article, the authors establish sufficient conditions for the existence of solutions to a class of boundary value problem for fractional differential…”
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Oscillation of Fourth-Order Nonlinear Semi-Canonical Neutral Difference Equations via Canonical Transformations by Ganesan, P., Palani, G., Graef, John R., Thandapani, E.

“…The authors present a new technique for transforming fourth-order semi-canonical nonlinear neutral difference equations into canonical form. This greatly…”
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Boundary Value Problem for Fractional q-Difference Equations with Integral Conditions in Banach Spaces by Allouch, Nadia, Graef, John R., Hamani, Samira

“…The authors investigate the existence of solutions to a class of boundary value problems for fractional q-difference equations in a Banach space that involves…”
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Sharp oscillation theorem for fourth-order linear delay differential equations by Jadlovská, Irena, Džurina, Jozef, Graef, John R., Grace, Said R.

“…In this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation x ( 4 ) ( t ) + p ( t )…”
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Multivalued Contraction Fixed-Point Theorem in b-Metric Spaces by Slimani, Bachir, Graef, John R., Ouahab, Abdelghani

“…The authors explore fixed-point theory in b-metric spaces and strong b-metric spaces. They wish to prove some new extensions of the Covitz and Nadler…”
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OSCILLATORY BEHAVIOR OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH A SUBLINEAR NEUTRAL TERM by Grace, Said R., Graef, John R.

“…The authors establish some new criteria for the oscillation of solutions of second order nonlinear differential equations with a sublinear neutral term by…”
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A Comprehensive Study of the Langevin Boundary Value Problems with Variable Order Fractional Derivatives by Graef, John R., Maazouz, Kadda, Zaak, Moussa Daif Allah

“…The authors investigate Langevin boundary value problems containing a variable order Caputo fractional derivative. After presenting the background for the…”
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A Generalized Lyapunov Inequality for a Pantograph Boundary Value Problem Involving a Variable Order Hadamard Fractional Derivative by Graef, John R., Maazouz, Kadda, Zaak, Moussa Daif Allah

“…The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard…”
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Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem by Moradi, Shahin, Afrouzi, Ghasem A., Graef, John R.

“…The existence of at least three weak solutions to a discrete fractional boundary value problem containing a p-Laplacian operator and subject to perturbations…”
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OSCILLATORY BEHAVIOR OF HIGHER ORDER NONLINEAR DIFFERENCE EQUATIONS by Grace, Said R., Graef, John R.

“…The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form ... Both of the…”
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Generalizations of the Nonlinear Henry Inequality and the Leray–Schauder Type Fixed Point Theorem with Applications to Fractional Differential Inclusions by Hamlat, Zouaoui, Graef, John R., Ouahab, Abdelghani

“…The authors give some singular versions of the Gronwall–Bihari–Henry inequalities. They also establish a multivalued version of the Leray–Schauder alternative…”
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Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line by Benchohra, Mouffak, Graef, John R., Guerraiche, Nassim, Hamani, Samira

“…The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the…”
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Some New Oscillation Results for Higher-Order Nonlinear Differential Equations with a Nonlinear Neutral Term by Graef, John R., Grace, Said R., Jadlovská, Irena, Tunç, Ercan

“…The authors study the oscillatory behaviors of solutions of higher-order nonlinear differential equations with a nonlinear neutral term. The right hand side of…”
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Oscillation of nonlinear neutral dynamic equations on time scales by Chhatria, G. N., Grace, Said R., Graef, John R.

“…The authors present necessary and sufficient conditions for the oscillation of a class of second order non-linear neutral dynamic equations with non-positive…”
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Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives by Graef, John R., Tunç, Cemil, Şevli, Hamdullah

“…A non-linear system of Volterra integro-fractional delay differential equations with Caputo fractional derivatives is considered. New sufficient conditions for…”
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Solitons in several space dimensions with variable exponents by Dellal, Abdelkader, Graef, John R., Ouahab, Abdelghani

“…The authors examine the Lorentz invariant nonlinear field equations with a variable exponent in several space dimensions in order to prove the existence of…”
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Positive solutions for a fractional boundary value problem by Graef, John R., Kong, Lingju, Yang, Bo

“…We obtain a new upper estimate for the Green’s function associated with a higher order fractional boundary value problem. As an application of this result,…”
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Positive solutions of a fourth-order differential equation with integral boundary conditions by Seshadev Padhi, John R. Graef

“…We study the existence of positive solutions to the fourth-order two-point boundary value problem \begin{cases} u^{\prime\prime\prime\prime}(t) + f(t,u(t))=0,…”
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Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions by Abdelhamid, Ouaddah, Graef, John R., Ouahab, Abdelghani

“…The authors study the existence and uniqueness of solutions to nonlinear first-order fractional stochastic differential systems driven by Brownian motion and…”
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A Chebyshev spectral method for solving Riemann–Liouville fractional boundary value problems by Graef, John R., Kong, Lingju, Wang, Min

“…The authors derive a series of explicit formulas to approximate the Riemann–Liouville derivative and integral of arbitrary order by shifted Chebyshev…”
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