Results 71 to 80 of about 2,984 (190)

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo, Wengui Yang, Mohammad W. Alomari   +2 more
wiley   +1 more source

Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω [PDF]

, 2004
Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder ...
Karapetyants, Nikolai, Samko, Natasha
core  

Fractional Derivatives in Spaces of Generalized Functions [PDF]

, 2011
MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as ...
Stojanović, Mirjana
core   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman, Abdul Rauf Khan   +4 more
wiley   +1 more source

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S., Baleanu D., Suganya S., Mallika Arjunan M.   +3 more
doaj   +1 more source

Convolution Products in L1(R+), Integral Transforms and Fractional Calculus [PDF]

, 2005
Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER ...
Miana, Pedro
core  

Quasilinearization‐Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro‐differential equations with logarithmic weakly singular kernel. After examining the behavior of the solution of the integro‐differential equation, we convert it into a ...
Qays Atshan Almusawi, Esmaeil Najafi, Birendra Nath Mandal   +2 more
wiley   +1 more source

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

Arab Journal of Mathematical Sciences, 2019
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj  

On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for α ∈ (0, 1] and in case 2, we use the right Riemann ...
Alipour Mohsen, Baleanu Dumitru
doaj   +1 more source