Results 71 to 80 of about 615,568 (200)

Boundary Value Problems With ψ‐Hilfer Fractional Derivative: Existence Theorems in Nonlinear Analysis

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari, Zainab Mawdoodi, Deepali Deepali   +2 more
wiley   +1 more source

Two high order, combined compact ADI schemes for solving 2D time–fractional advection–diffusion equation

Results in Applied Mathematics
This paper develops two efficient numerical methods for solving two-dimensional advection–diffusion equations involving the Caputo–Hadamard fractional derivative.
Yasin Sadeghi Nav, Hossein Aminikhah
doaj   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +1 more source

On the Traits of Solutions of Multipoint and Multistrip Fractional Boundary Value Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article is concerned with a new class of multipoint and multistrip type nonlocal boundary value problems for nonlinear Caputo fractional differential equations. By employing the tools of the fixed point theory, the existence and uniqueness criteria for solutions of the given problem are presented.
Bashir Ahmad, Naif Almuylibi, Ahmed Alsaedi, Peiguang Wang   +3 more
wiley   +1 more source

Functional impulsive fractional differential inclusions involving the Caputo-Hadamard derivative

Mathematica Moravica
This paper establishes sufficient conditions for the existence of solutions to fractional impulsive functional differential inclusions, utilizing fixed-point theorems for multivalued mappings.
Irguedi, Aida, Hamani, Samira
openaire   +2 more sources

New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications

Fractal and Fractional
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor, Amjad Hussain, Yuanheng Wang   +2 more
doaj   +1 more source

Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Adem Kilicman, Shikha Binwal   +5 more
wiley   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

New General Integral Inequalities for Polynomial Convexity in the Framework of k‐Riemann–Liouville Fractional Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k‐Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality.
Çetin Yıldız, Ferhat Polat, Fady Hasan, Nabil Mlaiki, Oluwole D. Makinde   +4 more
wiley   +1 more source

Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator

, 2023
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions.
Aziz Khan, Manar A. Alqudah, Thabet Abdeljawad, Sombir Dhaniya, Anoop Kumar   +4 more
core   +1 more source