Results 51 to 60 of about 793 (181)
Oscillation theorems for nonlinear fractional difference equations
Boundary Value Problems, 2018 In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann–Liouville difference operator.
Hakan Adiguzel
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Demonstratio Mathematica, 2023 The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
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Kazdan–Warner obstructions for a fourth‐order boundary problem
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
wiley +1 more source
Journal of Mathematics, 2021 We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x, a.e. t∈0,1x0cos α−P0x′0sin α=0x1cos β−P1x′1sin β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
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On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative
Journal of Function Spaces, 2021 Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
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First Report of Rising‐Tone EMIC Waves Driven by the Magnetosheath High‐Speed Jet
Geophysical Research Letters, Volume 53, Issue 14, 28 July 2026.Abstract Magnetosheath high‐speed jets (HSJs) are pervasive transient structures with enhanced dynamic pressure in the terrestrial magnetosheath and can exert notable local impacts on the magnetopause. Although various geoeffects have been reported to be associated with HSJs, whether HSJs can drive the generation of electromagnetic ion cyclotron (EMIC)
Wentian Lei +6 more
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New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals
Mathematical Methods in the Applied Sciences, Volume 49, Issue 10, Page 11186-11204, 15 July 2026.ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
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On Holditch and Liouville theorems
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995 The authors examine the relationship between the Liouville theorem in mechanics and the Holditch theorem in geometry. They first start by introducing well-known results of Hamiltonian mechanics when the Hamiltonian comes from a Riemannian metric \[ ds^2=g_{ij}dx^idx^j \] on the configuration space. In particular, the authors prove that the solutions of
Hacisalihoǧlu, H. H., Amirov, A. Kh.
openaire +4 more sources