Results 91 to 100 of about 27,980 (166)

A New Double Transform for Nonconformable Derivatives

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present the nonconformable fractional derivative of the double Sumudu transformation. In this study, we investigate the main features and benefits of this new technique and then apply it to solve several fractional nonconformable partial differential equations.
Shams A. Ahmed, Tarig M. Elzaki, Nikhil Khanna   +2 more
wiley   +1 more source

New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex

Mathematics, 2019
In this paper, we introduced some new integral inequalities of the Hermite⁻Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
Seth Kermausuor, Eze R. Nwaeze, Ana M. Tameru   +2 more
doaj   +1 more source

Extension of Hermite-Hadamard type inequalities to Katugampola fractional integrals

International Journal of Advances in Applied Sciences
In this study, we introduce several new Hermite-Hadamard type general integral inequalities for exponentially (s,m)-convex functions via Katugampola fractional integral. The Katugampola fractional integral is a broader form of the Riemann–Liouville and Hadamard fractional integrals. We utilized the power mean integral inequality, the H¨older inequality
Dipak Kr Das, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi   +3 more
openaire   +1 more source

Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

OALib, 2020
In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex.
openaire   +1 more source

Some new inequalities involving the Katugampola fractional integrals for strongly $\eta$-convex functions

Tbilisi Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kermausuor, Seth, Nwaeze, Eze R.
openaire   +2 more sources

Simpson type Katugampola fractional integral inequalities via Harmonic convex functions

Malaya Journal of Matematik, 2022
Z. Şanlı
semanticscholar   +1 more source

A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]

Surveys in Mathematics and its Applications
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq, Asif Ali Shaikh, Sotiris K. Ntouyas   +2 more
doaj  

Solvability of Caputo-Katugampola Fractional Differential Equation Involving p-Laplacian at Resonance

Contemporary Mathematics
In this paper, we investigate the existence of solutions for Caputo-Katugampola fractional differential equations at resonance that involve two different orders and the p-Laplacian operator, by using the theory of the coincidence degree due to Mawhin and
Ahmed Salem, Amal Alsaedi
semanticscholar   +1 more source

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

International Journal of Analysis and Applications, 2017
In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1].
Basak Karpuz, Umut M. Ozkan, Tugba Yalcin, Mustafa K. Yildiz   +3 more
doaj   +2 more sources

Frontiers of fractals for complex systems: recent advances and future challenges. [PDF]

Eur Phys J Spec Top, 2021
Gowrisankar A, Banerjee S.
europepmc   +1 more source